diff --git a/tests/include/test/constant_flow.h b/tests/include/test/constant_flow.h
index 98bee7e..9307a25 100644
--- a/tests/include/test/constant_flow.h
+++ b/tests/include/test/constant_flow.h
@@ -32,6 +32,28 @@
 #include MBEDTLS_CONFIG_FILE
 #endif
 
+/*
+ * This file defines the two macros
+ *
+ *  #define TEST_CF_SECRET(ptr, size)
+ *  #define TEST_CF_PUBLIC(ptr, size)
+ *
+ * that can be used in tests to mark a memory area as secret (no branch or
+ * memory access should depend on it) or public (default, only needs to be
+ * marked explicitly when it was derived from secret data).
+ *
+ * Arguments:
+ * - ptr: a pointer to the memory area to be marked
+ * - size: the size in bytes of the memory area
+ *
+ * Implementation:
+ * The basic idea is that of ctgrind <https://github.com/agl/ctgrind>: we can
+ * re-use tools that were designed for checking use of uninitialized memory.
+ * This file contains two implementations: one based on MemorySanitizer, the
+ * other on valgrind's memcheck. If none of them is enabled, dummy macros that
+ * do nothing are defined for convenience.
+ */
+
 #if defined(MBEDTLS_TEST_CONSTANT_FLOW_MEMSAN)
 #include <sanitizer/msan_interface.h>
 
@@ -41,11 +63,21 @@
 #define TEST_CF_PUBLIC  __msan_unpoison
 // void __msan_unpoison(const volatile void *a, size_t size);
 
-#else /* MBEDTLS_TEST_CONSTANT_FLOW_MEMSAN */
+#elif defined(MBEDTLS_TEST_CONSTANT_FLOW_VALGRIND)
+#include <valgrind/memcheck.h>
+
+#define TEST_CF_SECRET  VALGRIND_MAKE_MEM_UNDEFINED
+// VALGRIND_MAKE_MEM_UNDEFINED(_qzz_addr, _qzz_len)
+#define TEST_CF_PUBLIC  VALGRIND_MAKE_MEM_DEFINED
+// VALGRIND_MAKE_MEM_DEFINED(_qzz_addr, _qzz_len)
+
+#else /* MBEDTLS_TEST_CONSTANT_FLOW_MEMSAN ||
+         MBEDTLS_TEST_CONSTANT_FLOW_VALGRIND */
 
 #define TEST_CF_SECRET(ptr, size)
 #define TEST_CF_PUBLIC(ptr, size)
 
-#endif /* MBEDTLS_TEST_CONSTANT_FLOW_MEMSAN */
+#endif /* MBEDTLS_TEST_CONSTANT_FLOW_MEMSAN ||
+          MBEDTLS_TEST_CONSTANT_FLOW_VALGRIND */
 
 #endif /* TEST_CONSTANT_FLOW_H */
diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 6cc0cf8..caeb2fe 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -1111,6 +1111,28 @@
     make test
 }
 
+component_test_valgrind_constant_flow () {
+    # This tests both (1) everything that valgrind's memcheck usually checks
+    # (heap buffer overflows, use of uninitialized memory, use-after-free,
+    # etc.) and (2) branches or memory access depending on secret values,
+    # which will be reported as uninitialized memory. To distinguish between
+    # secret and actually uninitialized:
+    # - unset MBEDTLS_TEST_CONSTANT_FLOW_VALGRIND - does the failure persist?
+    # - or alternatively, build with debug info and manually run the offending
+    # test suite with valgrind --track-origins=yes, then check if the origin
+    # was TEST_CF_SECRET() or something else.
+    msg "build: cmake release GCC, full config with constant flow testing"
+    scripts/config.py full
+    scripts/config.py set MBEDTLS_TEST_CONSTANT_FLOW_VALGRIND
+    cmake -D CMAKE_BUILD_TYPE:String=Release .
+    make
+
+    # this only shows a summary of the results (how many of each type)
+    # details are left in Testing/<date>/DynamicAnalysis.xml
+    msg "test: main suites (valgrind + constant flow)"
+    make memcheck
+}
+
 component_test_default_no_deprecated () {
     # Test that removing the deprecated features from the default
     # configuration leaves something consistent.