diff --git a/scripts/lib/supervisor.py b/scripts/lib/supervisor.py
index 0e37f5d0cf..6e1984ab34 100644
--- a/scripts/lib/supervisor.py
+++ b/scripts/lib/supervisor.py
@@ -27,7 +27,9 @@ def rpc() -> client.ServerProxy:
     )
 
 
-def list_supervisor_processes(*filter_names: str) -> List[str]:
+def list_supervisor_processes(
+    filter_names: Optional[List[str]] = None, *, only_running: Optional[bool] = None
+) -> List[str]:
     results = []
     processes = rpc().supervisor.getAllProcessInfo()
     assert isinstance(processes, list)
@@ -49,5 +51,8 @@ def list_supervisor_processes(*filter_names: str) -> List[str]:
             if not match:
                 continue
 
-        results.append(name)
+        if only_running is None:
+            results.append(name)
+        elif only_running == (process["statename"] == "RUNNING"):
+            results.append(name)
     return results
diff --git a/scripts/restart-server b/scripts/restart-server
index 06bbad7165..4093d2e463 100755
--- a/scripts/restart-server
+++ b/scripts/restart-server
@@ -71,7 +71,7 @@ if has_application_server():
     if action == "start" or args.less_graceful:
         workers.append("zulip-workers:*")
     else:
-        workers.extend(list_supervisor_processes("zulip-workers:*"))
+        workers.extend(list_supervisor_processes(["zulip-workers:*"]))
 
     if has_application_server(once=True):
         # These used to be included in "zulip-workers:*"; since we may
@@ -81,8 +81,10 @@ if has_application_server():
         # `supervisorctl`.
         workers.extend(
             list_supervisor_processes(
-                "zulip_deliver_scheduled_emails",
-                "zulip_deliver_scheduled_messages",
+                [
+                    "zulip_deliver_scheduled_emails",
+                    "zulip_deliver_scheduled_messages",
+                ]
             )
         )
 
diff --git a/scripts/stop-server b/scripts/stop-server
index a1a6ea0af9..912cf4c761 100755
--- a/scripts/stop-server
+++ b/scripts/stop-server
@@ -48,8 +48,10 @@ if has_application_server():
         # if they currently exist according to `supervisorctl`.
         services.extend(
             list_supervisor_processes(
-                "zulip_deliver_scheduled_emails",
-                "zulip_deliver_scheduled_messages",
+                [
+                    "zulip_deliver_scheduled_emails",
+                    "zulip_deliver_scheduled_messages",
+                ]
             ),
         )