--- a/Modules/_hashopenssl.c
+++ b/Modules/_hashopenssl.c
@@ -42,7 +42,7 @@
#define PY_OPENSSL_HAS_SHAKE 1
#endif
-#ifdef NID_blake2b512
+#if defined(NID_blake2b512) && !defined(OPENSSL_NO_BLAKE2)
#define PY_OPENSSL_HAS_BLAKE2 1