diff --git a/pandas/io/sql.py b/pandas/io/sql.py
index b723eea334e84..fcb3f5177ae3f 100644
--- a/pandas/io/sql.py
+++ b/pandas/io/sql.py
@@ -731,6 +731,7 @@ def pandasSQL_builder(con, schema: str | None = None):
     provided parameters.
     """
     import sqlite3
+    import warnings
 
     if isinstance(con, sqlite3.Connection) or con is None:
         return SQLiteDatabase(con)
@@ -743,10 +744,13 @@ def pandasSQL_builder(con, schema: str | None = None):
     if isinstance(con, sqlalchemy.engine.Connectable):
         return SQLDatabase(con, schema=schema)
 
-    raise ValueError(
+    warnings.warn(
         "pandas only support SQLAlchemy connectable(engine/connection) or"
         "database string URI or sqlite3 DBAPI2 connection"
+        "other DBAPI2 objects are not tested, please consider using SQLAlchemy",
+        UserWarning,
     )
+    return SQLiteDatabase(con)
 
 
 class SQLTable(PandasObject):