diff --git a/tests/suites/test_suite_constant_time_hmac.data b/tests/suites/test_suite_constant_time_hmac.data
new file mode 100644
index 0000000..abf90f0
--- /dev/null
+++ b/tests/suites/test_suite_constant_time_hmac.data
@@ -0,0 +1,15 @@
+Constant-flow HMAC: MD5
+depends_on:MBEDTLS_HAS_ALG_MD5_VIA_MD_OR_PSA_BASED_ON_USE_PSA
+ssl_cf_hmac:MBEDTLS_MD_MD5
+
+Constant-flow HMAC: SHA1
+depends_on:MBEDTLS_HAS_ALG_SHA_1_VIA_MD_OR_PSA_BASED_ON_USE_PSA
+ssl_cf_hmac:MBEDTLS_MD_SHA1
+
+Constant-flow HMAC: SHA256
+depends_on:MBEDTLS_HAS_ALG_SHA_256_VIA_MD_OR_PSA_BASED_ON_USE_PSA
+ssl_cf_hmac:MBEDTLS_MD_SHA256
+
+Constant-flow HMAC: SHA384
+depends_on:MBEDTLS_HAS_ALG_SHA_384_VIA_MD_OR_PSA_BASED_ON_USE_PSA
+ssl_cf_hmac:MBEDTLS_MD_SHA384
diff --git a/tests/suites/test_suite_constant_time_hmac.function b/tests/suites/test_suite_constant_time_hmac.function
new file mode 100644
index 0000000..21ee50d
--- /dev/null
+++ b/tests/suites/test_suite_constant_time_hmac.function
@@ -0,0 +1,159 @@
+/* BEGIN_HEADER */
+
+#include <mbedtls/constant_time.h>
+#include <mbedtls/legacy_or_psa.h>
+#include <mbedtls/md.h>
+#include <constant_time_internal.h>
+
+#include <test/constant_flow.h>
+/* END_HEADER */
+
+/* BEGIN_CASE depends_on:MBEDTLS_SSL_SOME_SUITES_USE_TLS_CBC:MBEDTLS_TEST_HOOKS */
+void ssl_cf_hmac( int hash )
+{
+    /*
+     * Test the function mbedtls_ct_hmac() against a reference
+     * implementation.
+     */
+#if defined(MBEDTLS_USE_PSA_CRYPTO)
+    mbedtls_svc_key_id_t key = MBEDTLS_SVC_KEY_ID_INIT;
+    psa_key_attributes_t attributes = PSA_KEY_ATTRIBUTES_INIT;
+    psa_algorithm_t alg;
+    psa_mac_operation_t operation = PSA_MAC_OPERATION_INIT;
+#else
+    mbedtls_md_context_t ctx, ref_ctx;
+    const mbedtls_md_info_t *md_info;
+#endif /* MBEDTLS_USE_PSA_CRYPTO */
+    size_t out_len, block_size;
+    size_t min_in_len, in_len, max_in_len, i;
+    /* TLS additional data is 13 bytes (hence the "lucky 13" name) */
+    unsigned char add_data[13];
+    unsigned char ref_out[MBEDTLS_HASH_MAX_SIZE];
+    unsigned char *data = NULL;
+    unsigned char *out = NULL;
+    unsigned char rec_num = 0;
+
+    USE_PSA_INIT( );
+
+#if defined(MBEDTLS_USE_PSA_CRYPTO)
+    alg = PSA_ALG_HMAC( mbedtls_hash_info_psa_from_md( hash ) );
+
+    out_len = PSA_HASH_LENGTH( alg );
+    block_size = PSA_HASH_BLOCK_LENGTH( alg );
+
+    /* mbedtls_ct_hmac() requires the key to be exportable */
+    psa_set_key_usage_flags( &attributes, PSA_KEY_USAGE_EXPORT |
+                                          PSA_KEY_USAGE_VERIFY_HASH );
+    psa_set_key_algorithm( &attributes, PSA_ALG_HMAC( alg ) );
+    psa_set_key_type( &attributes, PSA_KEY_TYPE_HMAC );
+#else
+    mbedtls_md_init( &ctx );
+    mbedtls_md_init( &ref_ctx );
+
+    md_info = mbedtls_md_info_from_type( hash );
+    TEST_ASSERT( md_info != NULL );
+    out_len = mbedtls_md_get_size( md_info );
+    TEST_ASSERT( out_len != 0 );
+    block_size = hash == MBEDTLS_MD_SHA384 ? 128 : 64;
+#endif /* MBEDTLS_USE_PSA_CRYPTO */
+
+    /* Use allocated out buffer to catch overwrites */
+    ASSERT_ALLOC( out, out_len );
+
+#if defined(MBEDTLS_USE_PSA_CRYPTO)
+    /* Set up dummy key */
+    memset( ref_out, 42, sizeof( ref_out ) );
+    TEST_EQUAL( PSA_SUCCESS, psa_import_key( &attributes,
+                                             ref_out, out_len,
+                                             &key ) );
+#else
+    /* Set up contexts with the given hash and a dummy key */
+    TEST_EQUAL( 0, mbedtls_md_setup( &ctx, md_info, 1 ) );
+    TEST_EQUAL( 0, mbedtls_md_setup( &ref_ctx, md_info, 1 ) );
+    memset( ref_out, 42, sizeof( ref_out ) );
+    TEST_EQUAL( 0, mbedtls_md_hmac_starts( &ctx, ref_out, out_len ) );
+    TEST_EQUAL( 0, mbedtls_md_hmac_starts( &ref_ctx, ref_out, out_len ) );
+    memset( ref_out, 0, sizeof( ref_out ) );
+#endif
+
+    /*
+     * Test all possible lengths up to a point. The difference between
+     * max_in_len and min_in_len is at most 255, and make sure they both vary
+     * by at least one block size.
+     */
+    for( max_in_len = 0; max_in_len <= 255 + block_size; max_in_len++ )
+    {
+        mbedtls_test_set_step( max_in_len * 10000 );
+
+        /* Use allocated in buffer to catch overreads */
+        ASSERT_ALLOC( data, max_in_len );
+
+        min_in_len = max_in_len > 255 ? max_in_len - 255 : 0;
+        for( in_len = min_in_len; in_len <= max_in_len; in_len++ )
+        {
+            mbedtls_test_set_step( max_in_len * 10000 + in_len );
+
+            /* Set up dummy data and add_data */
+            rec_num++;
+            memset( add_data, rec_num, sizeof( add_data ) );
+            for( i = 0; i < in_len; i++ )
+                data[i] = ( i & 0xff ) ^ rec_num;
+
+            /* Get the function's result */
+            TEST_CF_SECRET( &in_len, sizeof( in_len ) );
+#if defined(MBEDTLS_USE_PSA_CRYPTO)
+            TEST_EQUAL( 0, mbedtls_ct_hmac( key, PSA_ALG_HMAC( alg ),
+                                            add_data, sizeof( add_data ),
+                                            data, in_len,
+                                            min_in_len, max_in_len,
+                                            out ) );
+#else
+            TEST_EQUAL( 0, mbedtls_ct_hmac( &ctx, add_data, sizeof( add_data ),
+                                            data, in_len,
+                                            min_in_len, max_in_len,
+                                            out ) );
+#endif /* MBEDTLS_USE_PSA_CRYPTO */
+            TEST_CF_PUBLIC( &in_len, sizeof( in_len ) );
+            TEST_CF_PUBLIC( out, out_len );
+
+#if defined(MBEDTLS_USE_PSA_CRYPTO)
+            TEST_EQUAL( PSA_SUCCESS, psa_mac_verify_setup( &operation,
+                                                           key, alg ) );
+            TEST_EQUAL( PSA_SUCCESS, psa_mac_update( &operation, add_data,
+                                                     sizeof( add_data ) ) );
+            TEST_EQUAL( PSA_SUCCESS, psa_mac_update( &operation,
+                                                     data, in_len ) );
+            TEST_EQUAL( PSA_SUCCESS, psa_mac_verify_finish( &operation,
+                                                            out, out_len ) );
+#else
+            /* Compute the reference result */
+            TEST_EQUAL( 0, mbedtls_md_hmac_update( &ref_ctx, add_data,
+                                                   sizeof( add_data ) ) );
+            TEST_EQUAL( 0, mbedtls_md_hmac_update( &ref_ctx, data, in_len ) );
+            TEST_EQUAL( 0, mbedtls_md_hmac_finish( &ref_ctx, ref_out ) );
+            TEST_EQUAL( 0, mbedtls_md_hmac_reset( &ref_ctx ) );
+
+            /* Compare */
+            ASSERT_COMPARE( out, out_len, ref_out, out_len );
+#endif /* MBEDTLS_USE_PSA_CRYPTO */
+        }
+
+        mbedtls_free( data );
+        data = NULL;
+    }
+
+exit:
+#if defined(MBEDTLS_USE_PSA_CRYPTO)
+    psa_mac_abort( &operation );
+    psa_destroy_key( key );
+#else
+    mbedtls_md_free( &ref_ctx );
+    mbedtls_md_free( &ctx );
+#endif /* MBEDTLS_USE_PSA_CRYPTO */
+
+    mbedtls_free( data );
+    mbedtls_free( out );
+
+    USE_PSA_DONE( );
+}
+/* END_CASE */
diff --git a/tests/suites/test_suite_ssl.data b/tests/suites/test_suite_ssl.data
index a35762d..5bd856b 100644
--- a/tests/suites/test_suite_ssl.data
+++ b/tests/suites/test_suite_ssl.data
@@ -3378,22 +3378,6 @@
 depends_on:MBEDTLS_SSL_PROTO_TLS1_3:MBEDTLS_SSL_SRV_C
 ssl_serialize_session_load_buf_size:0:"":MBEDTLS_SSL_IS_SERVER:MBEDTLS_SSL_VERSION_TLS1_3
 
-Constant-flow HMAC: MD5
-depends_on:MBEDTLS_HAS_ALG_MD5_VIA_MD_OR_PSA_BASED_ON_USE_PSA
-ssl_cf_hmac:MBEDTLS_MD_MD5
-
-Constant-flow HMAC: SHA1
-depends_on:MBEDTLS_HAS_ALG_SHA_1_VIA_MD_OR_PSA_BASED_ON_USE_PSA
-ssl_cf_hmac:MBEDTLS_MD_SHA1
-
-Constant-flow HMAC: SHA256
-depends_on:MBEDTLS_HAS_ALG_SHA_256_VIA_MD_OR_PSA_BASED_ON_USE_PSA
-ssl_cf_hmac:MBEDTLS_MD_SHA256
-
-Constant-flow HMAC: SHA384
-depends_on:MBEDTLS_HAS_ALG_SHA_384_VIA_MD_OR_PSA_BASED_ON_USE_PSA
-ssl_cf_hmac:MBEDTLS_MD_SHA384
-
 # these are the numbers we'd get with an empty plaintext and truncated HMAC
 Constant-flow memcpy from offset: small
 ssl_cf_memcpy_offset:0:5:10
diff --git a/tests/suites/test_suite_ssl.function b/tests/suites/test_suite_ssl.function
index 7447a1d..39774c6 100644
--- a/tests/suites/test_suite_ssl.function
+++ b/tests/suites/test_suite_ssl.function
@@ -5439,156 +5439,6 @@
 /* END_CASE */
 
 /* BEGIN_CASE depends_on:MBEDTLS_SSL_SOME_SUITES_USE_TLS_CBC:MBEDTLS_TEST_HOOKS */
-void ssl_cf_hmac( int hash )
-{
-    /*
-     * Test the function mbedtls_ct_hmac() against a reference
-     * implementation.
-     */
-#if defined(MBEDTLS_USE_PSA_CRYPTO)
-    mbedtls_svc_key_id_t key = MBEDTLS_SVC_KEY_ID_INIT;
-    psa_key_attributes_t attributes = PSA_KEY_ATTRIBUTES_INIT;
-    psa_algorithm_t alg;
-    psa_mac_operation_t operation = PSA_MAC_OPERATION_INIT;
-#else
-    mbedtls_md_context_t ctx, ref_ctx;
-    const mbedtls_md_info_t *md_info;
-#endif /* MBEDTLS_USE_PSA_CRYPTO */
-    size_t out_len, block_size;
-    size_t min_in_len, in_len, max_in_len, i;
-    /* TLS additional data is 13 bytes (hence the "lucky 13" name) */
-    unsigned char add_data[13];
-    unsigned char ref_out[MBEDTLS_HASH_MAX_SIZE];
-    unsigned char *data = NULL;
-    unsigned char *out = NULL;
-    unsigned char rec_num = 0;
-
-    USE_PSA_INIT( );
-
-#if defined(MBEDTLS_USE_PSA_CRYPTO)
-    alg = PSA_ALG_HMAC( mbedtls_hash_info_psa_from_md( hash ) );
-
-    out_len = PSA_HASH_LENGTH( alg );
-    block_size = PSA_HASH_BLOCK_LENGTH( alg );
-
-    /* mbedtls_ct_hmac() requires the key to be exportable */
-    psa_set_key_usage_flags( &attributes, PSA_KEY_USAGE_EXPORT |
-                                          PSA_KEY_USAGE_VERIFY_HASH );
-    psa_set_key_algorithm( &attributes, PSA_ALG_HMAC( alg ) );
-    psa_set_key_type( &attributes, PSA_KEY_TYPE_HMAC );
-#else
-    mbedtls_md_init( &ctx );
-    mbedtls_md_init( &ref_ctx );
-
-    md_info = mbedtls_md_info_from_type( hash );
-    TEST_ASSERT( md_info != NULL );
-    out_len = mbedtls_md_get_size( md_info );
-    TEST_ASSERT( out_len != 0 );
-    block_size = hash == MBEDTLS_MD_SHA384 ? 128 : 64;
-#endif /* MBEDTLS_USE_PSA_CRYPTO */
-
-    /* Use allocated out buffer to catch overwrites */
-    ASSERT_ALLOC( out, out_len );
-
-#if defined(MBEDTLS_USE_PSA_CRYPTO)
-    /* Set up dummy key */
-    memset( ref_out, 42, sizeof( ref_out ) );
-    TEST_EQUAL( PSA_SUCCESS, psa_import_key( &attributes,
-                                             ref_out, out_len,
-                                             &key ) );
-#else
-    /* Set up contexts with the given hash and a dummy key */
-    TEST_EQUAL( 0, mbedtls_md_setup( &ctx, md_info, 1 ) );
-    TEST_EQUAL( 0, mbedtls_md_setup( &ref_ctx, md_info, 1 ) );
-    memset( ref_out, 42, sizeof( ref_out ) );
-    TEST_EQUAL( 0, mbedtls_md_hmac_starts( &ctx, ref_out, out_len ) );
-    TEST_EQUAL( 0, mbedtls_md_hmac_starts( &ref_ctx, ref_out, out_len ) );
-    memset( ref_out, 0, sizeof( ref_out ) );
-#endif
-
-    /*
-     * Test all possible lengths up to a point. The difference between
-     * max_in_len and min_in_len is at most 255, and make sure they both vary
-     * by at least one block size.
-     */
-    for( max_in_len = 0; max_in_len <= 255 + block_size; max_in_len++ )
-    {
-        mbedtls_test_set_step( max_in_len * 10000 );
-
-        /* Use allocated in buffer to catch overreads */
-        ASSERT_ALLOC( data, max_in_len );
-
-        min_in_len = max_in_len > 255 ? max_in_len - 255 : 0;
-        for( in_len = min_in_len; in_len <= max_in_len; in_len++ )
-        {
-            mbedtls_test_set_step( max_in_len * 10000 + in_len );
-
-            /* Set up dummy data and add_data */
-            rec_num++;
-            memset( add_data, rec_num, sizeof( add_data ) );
-            for( i = 0; i < in_len; i++ )
-                data[i] = ( i & 0xff ) ^ rec_num;
-
-            /* Get the function's result */
-            TEST_CF_SECRET( &in_len, sizeof( in_len ) );
-#if defined(MBEDTLS_USE_PSA_CRYPTO)
-            TEST_EQUAL( 0, mbedtls_ct_hmac( key, PSA_ALG_HMAC( alg ),
-                                            add_data, sizeof( add_data ),
-                                            data, in_len,
-                                            min_in_len, max_in_len,
-                                            out ) );
-#else
-            TEST_EQUAL( 0, mbedtls_ct_hmac( &ctx, add_data, sizeof( add_data ),
-                                            data, in_len,
-                                            min_in_len, max_in_len,
-                                            out ) );
-#endif /* MBEDTLS_USE_PSA_CRYPTO */
-            TEST_CF_PUBLIC( &in_len, sizeof( in_len ) );
-            TEST_CF_PUBLIC( out, out_len );
-
-#if defined(MBEDTLS_USE_PSA_CRYPTO)
-            TEST_EQUAL( PSA_SUCCESS, psa_mac_verify_setup( &operation,
-                                                           key, alg ) );
-            TEST_EQUAL( PSA_SUCCESS, psa_mac_update( &operation, add_data,
-                                                     sizeof( add_data ) ) );
-            TEST_EQUAL( PSA_SUCCESS, psa_mac_update( &operation,
-                                                     data, in_len ) );
-            TEST_EQUAL( PSA_SUCCESS, psa_mac_verify_finish( &operation,
-                                                            out, out_len ) );
-#else
-            /* Compute the reference result */
-            TEST_EQUAL( 0, mbedtls_md_hmac_update( &ref_ctx, add_data,
-                                                   sizeof( add_data ) ) );
-            TEST_EQUAL( 0, mbedtls_md_hmac_update( &ref_ctx, data, in_len ) );
-            TEST_EQUAL( 0, mbedtls_md_hmac_finish( &ref_ctx, ref_out ) );
-            TEST_EQUAL( 0, mbedtls_md_hmac_reset( &ref_ctx ) );
-
-            /* Compare */
-            ASSERT_COMPARE( out, out_len, ref_out, out_len );
-#endif /* MBEDTLS_USE_PSA_CRYPTO */
-        }
-
-        mbedtls_free( data );
-        data = NULL;
-    }
-
-exit:
-#if defined(MBEDTLS_USE_PSA_CRYPTO)
-    psa_mac_abort( &operation );
-    psa_destroy_key( key );
-#else
-    mbedtls_md_free( &ref_ctx );
-    mbedtls_md_free( &ctx );
-#endif /* MBEDTLS_USE_PSA_CRYPTO */
-
-    mbedtls_free( data );
-    mbedtls_free( out );
-
-    USE_PSA_DONE( );
-}
-/* END_CASE */
-
-/* BEGIN_CASE depends_on:MBEDTLS_SSL_SOME_SUITES_USE_TLS_CBC:MBEDTLS_TEST_HOOKS */
 void ssl_cf_memcpy_offset( int offset_min, int offset_max, int len )
 {
     unsigned char *dst = NULL;