diff --git a/gotrue/_async/client.py b/gotrue/_async/client.py
index c72fe99e..89b79505 100644
--- a/gotrue/_async/client.py
+++ b/gotrue/_async/client.py
@@ -622,7 +622,7 @@ async def _save_session(self, *, session: Session) -> None:
             expire_in = session.expires_at - time_now
             refresh_duration_before_expires = 60 if expire_in > 60 else 0.5
             self._start_auto_refresh_token(
-                value=(expire_in - refresh_duration_before_expires) * 1000
+                value=(expire_in - refresh_duration_before_expires)
             )
         if self.persist_session and session.expires_at:
             await self._persist_session(session=session)
diff --git a/gotrue/_sync/client.py b/gotrue/_sync/client.py
index 3ce6b2de..0c7c7150 100644
--- a/gotrue/_sync/client.py
+++ b/gotrue/_sync/client.py
@@ -614,7 +614,7 @@ def _save_session(self, *, session: Session) -> None:
             expire_in = session.expires_at - time_now
             refresh_duration_before_expires = 60 if expire_in > 60 else 0.5
             self._start_auto_refresh_token(
-                value=(expire_in - refresh_duration_before_expires) * 1000
+                value=(expire_in - refresh_duration_before_expires)
             )
         if self.persist_session and session.expires_at:
             self._persist_session(session=session)