diff --git a/src/interfaces/libpq/fe-secure-openssl.c b/src/interfaces/libpq/fe-secure-openssl.c
index aea4661736..e2eace2bc6 100644
--- a/src/interfaces/libpq/fe-secure-openssl.c
+++ b/src/interfaces/libpq/fe-secure-openssl.c
@@ -1745,14 +1745,18 @@ PQsslAttributeNames(PGconn *conn)
 const char *
 PQsslAttribute(PGconn *conn, const char *attribute_name)
 {
-	if (strcmp(attribute_name, "library") == 0)
-		return "OpenSSL";
-
 	if (!conn)
+	{
+		if (strcmp(attribute_name, "library") == 0)
+			return "OpenSSL";
 		return NULL;
+	}
 	if (conn->ssl == NULL)
 		return NULL;
 
+	if (strcmp(attribute_name, "library") == 0)
+		return "OpenSSL";
+
 	if (strcmp(attribute_name, "key_bits") == 0)
 	{
 		static char sslbits_str[12];