diff --git a/jupyter_server/utils.py b/jupyter_server/utils.py
index 93fb5c036f..180c3127e9 100644
--- a/jupyter_server/utils.py
+++ b/jupyter_server/utils.py
@@ -181,9 +181,11 @@ def _check_pid_posix(pid):
 
 
 async def run_sync_in_loop(maybe_async):
-    """**DEPRECATED**: Use ``ensure_async`` instead."""
+    """**DEPRECATED**: Use ``ensure_async`` from jupyter_core instead."""
     warnings.warn(
-        "run_sync_in_loop is deprecated, use 'ensure_async'", DeprecationWarning, stacklevel=2
+        "run_sync_in_loop is deprecated since Jupyter Server 2.0, use 'ensure_async' from jupyter_core instead",
+        DeprecationWarning,
+        stacklevel=2,
     )
     return ensure_async(maybe_async)