diff --git a/library/ecdsa.c b/library/ecdsa.c
index 3ae8eed..bda9262 100644
--- a/library/ecdsa.c
+++ b/library/ecdsa.c
@@ -478,17 +478,64 @@
                                       mbedtls_hmac_drbg_random, p_rng,
                                       f_rng_blind, p_rng_blind, rs_ctx );
     else
+    {
+        mbedtls_hmac_drbg_context *p_rng_blind_det;
+
+#if !defined(MBEDTLS_ECP_RESTARTABLE)
         /*
-         * Use the same RNG for both blinding and ephemeral key generation.
-         * Since the RNG output is always the same for the same key and message,
-         * this limits the efficiency of blinding and leaks information through
-         * side channels. After mbedtls_ecdsa_sign_det() is removed NULL won't
-         * be a valid value for f_rng_blind anymore. Therefore it should be
-         * checked by the caller and this branch and check can be removed.
+         * To avoid reusing rng_ctx and risking incorrect behavior we seed a
+         * second HMAC-DRBG with the same seed. We also apply a label to avoid
+         * reusing the bits of the ephemeral key for blinding and eliminate the
+         * risk that they leak this way.
+         */
+        const char* blind_label = "BLINDING CONTEXT";
+        mbedtls_hmac_drbg_context rng_ctx_blind;
+
+        mbedtls_hmac_drbg_init( &rng_ctx_blind );
+        p_rng_blind_det = &rng_ctx_blind;
+        mbedtls_hmac_drbg_seed_buf( p_rng_blind_det, md_info,
+                                    data, 2 * grp_len );
+        ret = mbedtls_hmac_drbg_update_ret( p_rng_blind_det,
+                                            (const unsigned char*) blind_label,
+                                            strlen( blind_label ) );
+        if( ret != 0 )
+        {
+            mbedtls_hmac_drbg_free( &rng_ctx_blind );
+            goto cleanup;
+        }
+#else
+        /*
+         * In the case of restartable computations we would either need to store
+         * the second RNG in the restart context too or set it up at every
+         * restart. The first option would penalize the correct application of
+         * the function and the second would defeat the purpose of the
+         * restartable feature.
+         *
+         * Therefore in this case we reuse the original RNG. This comes with the
+         * price that the resulting signature might not be a valid deterministic
+         * ECDSA signature with a very low probability (same magnitude as
+         * successfully guessing the private key). However even then it is still
+         * a valid ECDSA signature.
+         */
+        p_rng_blind_det = p_rng;
+#endif /* MBEDTLS_ECP_RESTARTABLE */
+
+        /*
+         * Since the output of the RNGs is always the same for the same key and
+         * message, this limits the efficiency of blinding and leaks information
+         * through side channels. After mbedtls_ecdsa_sign_det() is removed NULL
+         * won't be a valid value for f_rng_blind anymore. Therefore it should
+         * be checked by the caller and this branch and check can be removed.
          */
         ret = ecdsa_sign_restartable( grp, r, s, d, buf, blen,
                                       mbedtls_hmac_drbg_random, p_rng,
-                                      mbedtls_hmac_drbg_random, p_rng, rs_ctx );
+                                      mbedtls_hmac_drbg_random, p_rng_blind_det,
+                                      rs_ctx );
+
+#if !defined(MBEDTLS_ECP_RESTARTABLE)
+        mbedtls_hmac_drbg_free( &rng_ctx_blind );
+#endif
+    }
 #endif /* MBEDTLS_ECDSA_SIGN_ALT */
 
 cleanup: