diff --git a/distributed/dashboard/components/scheduler.py b/distributed/dashboard/components/scheduler.py
index 2934b6e984..a10c68b2d1 100644
--- a/distributed/dashboard/components/scheduler.py
+++ b/distributed/dashboard/components/scheduler.py
@@ -1942,9 +1942,20 @@ def update(self):
                 if len(self.scheduler.workers) == 0:
                     total_data = None
                 elif name == "memory_percent":
-                    total_data = sum(
-                        ws.metrics["memory"] for ws in self.scheduler.workers.values()
-                    ) / sum(ws.memory_limit for ws in self.scheduler.workers.values())
+                    total_mem = sum(
+                        ws.memory_limit for ws in self.scheduler.workers.values()
+                    )
+                    total_data = (
+                        (
+                            sum(
+                                ws.metrics["memory"]
+                                for ws in self.scheduler.workers.values()
+                            )
+                            / total_mem
+                        )
+                        if total_mem
+                        else ""
+                    )
                 elif name == "cpu":
                     total_data = (
                         sum(ws.metrics["cpu"] for ws in self.scheduler.workers.values())
diff --git a/distributed/dashboard/tests/test_scheduler_bokeh.py b/distributed/dashboard/tests/test_scheduler_bokeh.py
index 0561cd5fbb..04cadeaf04 100644
--- a/distributed/dashboard/tests/test_scheduler_bokeh.py
+++ b/distributed/dashboard/tests/test_scheduler_bokeh.py
@@ -430,6 +430,17 @@ def metric(worker):
     assert s.workers[a.address].metrics["metric"] == -999
 
 
+@gen_cluster(client=True, worker_kwargs={"memory_limit": 0})
+async def test_WorkerTable_with_memory_limit_as_0(c, s, a, b):
+
+    wt = WorkerTable(s)
+    wt.update()
+    assert all(wt.source.data.values())
+    assert wt.source.data["name"][0] == "Total (2)"
+    assert wt.source.data["memory_limit"][0] == 0
+    assert wt.source.data["memory_percent"][0] == ""
+
+
 @gen_cluster(client=True)
 async def test_TaskGraph(c, s, a, b):
     gp = TaskGraph(s)