diff --git a/homeassistant/components/mqtt/cover.py b/homeassistant/components/mqtt/cover.py
index c8da14e67e6..4e8cf0f4129 100644
--- a/homeassistant/components/mqtt/cover.py
+++ b/homeassistant/components/mqtt/cover.py
@@ -380,7 +380,11 @@ class MqttCover(MqttEntity, CoverEntity):
                         else STATE_OPEN
                     )
                 else:
-                    state = STATE_CLOSED if self.state == STATE_CLOSING else STATE_OPEN
+                    state = (
+                        STATE_CLOSED
+                        if self.state in [STATE_CLOSED, STATE_CLOSING]
+                        else STATE_OPEN
+                    )
             elif payload == self._config[CONF_STATE_OPENING]:
                 state = STATE_OPENING
             elif payload == self._config[CONF_STATE_CLOSING]:
diff --git a/tests/components/mqtt/test_cover.py b/tests/components/mqtt/test_cover.py
index f3bf92951b0..8db1c89bc40 100644
--- a/tests/components/mqtt/test_cover.py
+++ b/tests/components/mqtt/test_cover.py
@@ -3347,6 +3347,11 @@ async def test_set_state_via_stopped_state_no_position_topic(
     state = hass.states.get("cover.test")
     assert state.state == STATE_CLOSED
 
+    async_fire_mqtt_message(hass, "state-topic", "STOPPED")
+
+    state = hass.states.get("cover.test")
+    assert state.state == STATE_CLOSED
+
 
 @pytest.mark.parametrize(
     "hass_config",