diff --git a/Modules/_hashopenssl.c b/Modules/_hashopenssl.c
--- a/Modules/_hashopenssl.c
+++ b/Modules/_hashopenssl.c
@@ -43,7 +43,7 @@
 #  error "OPENSSL_THREADS is not defined, Python requires thread-safe OpenSSL"
 #endif
 
-#if (OPENSSL_VERSION_NUMBER < 0x10100000L) || defined(LIBRESSL_VERSION_NUMBER)
+#if (OPENSSL_VERSION_NUMBER < 0x10100000L) || (LIBRESSL_VERSION_NUMBER < 0x3050000fL)
 /* OpenSSL < 1.1.0 */
 #define EVP_MD_CTX_new EVP_MD_CTX_create
 #define EVP_MD_CTX_free EVP_MD_CTX_destroy

.