diff --git a/include/mbedtls/config.h b/include/mbedtls/config.h
index 82d8d8b7f..8f3dba97d 100644
--- a/include/mbedtls/config.h
+++ b/include/mbedtls/config.h
@@ -458,6 +458,23 @@
  */
 //#define MBEDTLS_TEST_CONSTANT_FLOW_MEMSAN
 
+/**
+ * \def MBEDTLS_TEST_CONSTANT_FLOW_VALGRIND
+ *
+ * Enable testing of the constant-flow nature of some sensitive functions with
+ * valgrind's memcheck tool. This causes some existing tests to also test
+ * non-functional properties of the code under test.
+ *
+ * This setting requires valgrind headers for building, and is only useful for
+ * testing if the tests suites are run with valgrind's memcheck.
+ *
+ * \warning This macro is only used for extended testing; it is not considered
+ * part of the library's API, so it may change or disappear at any time.
+ *
+ * Uncomment to enable testing of the constant-flow nature of selected code.
+ */
+//#define MBEDTLS_TEST_CONSTANT_FLOW_VALGRIND
+
 /**
  * \def MBEDTLS_TEST_NULL_ENTROPY
  *
diff --git a/library/version_features.c b/library/version_features.c
index dbe6ba6ad..a3e3df4f9 100644
--- a/library/version_features.c
+++ b/library/version_features.c
@@ -256,6 +256,9 @@ static const char *features[] = {
 #if defined(MBEDTLS_TEST_CONSTANT_FLOW_MEMSAN)
     "MBEDTLS_TEST_CONSTANT_FLOW_MEMSAN",
 #endif /* MBEDTLS_TEST_CONSTANT_FLOW_MEMSAN */
+#if defined(MBEDTLS_TEST_CONSTANT_FLOW_VALGRIND)
+    "MBEDTLS_TEST_CONSTANT_FLOW_VALGRIND",
+#endif /* MBEDTLS_TEST_CONSTANT_FLOW_VALGRIND */
 #if defined(MBEDTLS_TEST_NULL_ENTROPY)
     "MBEDTLS_TEST_NULL_ENTROPY",
 #endif /* MBEDTLS_TEST_NULL_ENTROPY */
diff --git a/scripts/config.pl b/scripts/config.pl
index 2dadc87c0..80b6cd88c 100755
--- a/scripts/config.pl
+++ b/scripts/config.pl
@@ -125,6 +125,7 @@ MBEDTLS_REMOVE_ARC4_CIPHERSUITES
 MBEDTLS_RSA_NO_CRT
 MBEDTLS_SSL_HW_RECORD_ACCEL
 MBEDTLS_TEST_CONSTANT_FLOW_MEMSAN
+MBEDTLS_TEST_CONSTANT_FLOW_VALGRIND
 MBEDTLS_TEST_NULL_ENTROPY
 MBEDTLS_X509_ALLOW_UNSUPPORTED_CRITICAL_EXTENSION
 MBEDTLS_ZLIB_SUPPORT
diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 81396945b..50f98eb29 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -979,6 +979,28 @@ component_test_memsan_constant_flow () {
     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.pl full
+    scripts/config.pl 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.
diff --git a/tests/suites/helpers.function b/tests/suites/helpers.function
index 3309173d3..c1c76ec09 100644
--- a/tests/suites/helpers.function
+++ b/tests/suites/helpers.function
@@ -38,6 +38,27 @@ typedef UINT32 uint32_t;
 #include <unistd.h>
 #endif
 
+/*
+ * Define 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>
 
@@ -47,7 +68,16 @@ typedef UINT32 uint32_t;
 #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)