diff --git a/src/MySQLdb/connections.py b/src/MySQLdb/connections.py
index 73c95e0..c357545 100644
--- a/src/MySQLdb/connections.py
+++ b/src/MySQLdb/connections.py
@@ -204,6 +204,8 @@ class object, used to create cursors (keyword only)
             if type(k) is not int  # noqa: E721
         }
 
+        self.database = kwargs2.get("database", "")
+
         self._server_version = tuple(
             [numeric_part(n) for n in self.get_server_info().split(".")[:2]]
         )