diff --git a/crypto/init.c b/crypto/init.c
index 1cac74193..aac87deb4 100644
--- a/crypto/init.c
+++ b/crypto/init.c
@@ -468,13 +468,13 @@ void OPENSSL_cleanup(void)
     fprintf(stderr, "OPENSSL_INIT: OPENSSL_INIT_library_stop: "
                     "RAND_cleanup()\n");
 
-#endif
-#ifndef OPENSSL_NO_ENGINE
-    ENGINE_cleanup();
 #endif
     CRYPTO_cleanup_all_ex_data();
     EVP_cleanup();
     CONF_modules_free();
+#ifndef OPENSSL_NO_ENGINE
+    ENGINE_cleanup();
+#endif
     RAND_cleanup();
     base_inited = 0;
 }