diff --git a/stackhpc_cloud_tests/monitoring/test_prometheus.py b/stackhpc_cloud_tests/monitoring/test_prometheus.py
index 7478ffa..5868de5 100644
--- a/stackhpc_cloud_tests/monitoring/test_prometheus.py
+++ b/stackhpc_cloud_tests/monitoring/test_prometheus.py
@@ -39,3 +39,45 @@ def test_prometheus_node_exporter_metrics(prom):
     """Check that expected node exporter metrics exist."""
     metrics = prom.all_metrics()
     assert "node_cpu_seconds_total" in metrics
+
+
+def test_prometheus_alerts_inactive(prom):
+    """Check that no Prometheus alerts are active."""
+    # https://prometheus.io/docs/prometheus/latest/querying/api/#alerts
+    response = prom._session.get(
+        "{0}/api/v1/alerts".format(prom.url),
+        verify=prom._session.verify,
+        headers=prom.headers,
+        auth=prom.auth,
+        cert=prom._session.cert,
+    )
+    assert response.ok
+    response = response.json()
+    assert "status" in response
+    assert response["status"] == "success"
+    assert "data" in response
+    alerts = response["data"]["alerts"] or []
+
+    # (MaxN) Allow for, and filter out, alerts we'd expect to see in an AIO environment.
+    #        TODO - find a way of configuring this for SCT running in other environments.
+    aio_alerts_to_ignore = [
+        # We know our volumes are small.
+        { "alertname": "StorageFillingUp", "instance": "controller0" },
+        # This is probably due to storage space..
+        { "alertname": "ElasticsearchClusterYellow", "instance": "controller0" },
+        # ..or because we're running in a single instance and it wants to be clustered across multiple nodes.
+        { "alertname": "ElasticsearchUnassignedShards", "instance": "controller0" },
+        # It's a small AIO!
+        { "alertname": "LowMemory", "instance": "controller0" },
+        # It's only one node and expects three, see https://github.com/stackhpc/stackhpc-kayobe-config/pull/1579
+        { "alertname": "RabbitMQNodeDown" },
+        # This is probably because Tempest runs before pytest so the container has been recently stopped.
+        { "alertname": "ContainerKilled", "name": "tempest" }
+    ]
+
+    def alert_is_ignored(alert, alerts_to_ignore):
+        # Check if any of the "ignore cases" match the alert
+        return any(alert_to_ignore.items() <= alert.items() for alert_to_ignore in alerts_to_ignore)
+
+    alerts = [ alert for alert in alerts if not alert_is_ignored(alert["labels"], aio_alerts_to_ignore) ]
+    assert len(alerts) == 0