diff --git a/agents.py b/agents.py
index 733429e..3996e67 100755
--- a/agents.py
+++ b/agents.py
@@ -578,6 +578,15 @@ def wake_agent(cfg, agent):
     if not wake:
         return True
     session = agent["session"]
+    # A one-shot `task` is "woken" by RE-RUNNING it fresh — it has no persistent REPL to re-prompt — so
+    # scheduled work (e.g. a coverage audit) recurs autonomously on its interval, no operator needed.
+    # Skip only while its previous run is still going; otherwise kill + restart for a clean re-run.
+    if agent.get("kind") == "task":
+        if session_alive(session) and pane_active(cfg, agent, capture_pane(session, 25)):
+            return False
+        log(f"wake: re-running task {agent['name']} ({session})")
+        start_agent(cfg, agent, force=True)
+        return True
     if not session_alive(session):
         return False
     backend = backend_of(cfg, agent)