diff --git a/homeassistant/components/tasmota/manifest.json b/homeassistant/components/tasmota/manifest.json
index 9ea06bea545..bd30231396f 100644
--- a/homeassistant/components/tasmota/manifest.json
+++ b/homeassistant/components/tasmota/manifest.json
@@ -3,7 +3,7 @@
   "name": "Tasmota",
   "config_flow": true,
   "documentation": "https://www.home-assistant.io/integrations/tasmota",
-  "requirements": ["hatasmota==0.3.0"],
+  "requirements": ["hatasmota==0.3.1"],
   "dependencies": ["mqtt"],
   "mqtt": ["tasmota/discovery/#"],
   "codeowners": ["@emontnemery"],
diff --git a/requirements_all.txt b/requirements_all.txt
index 27be10465e7..dcf44749cdb 100644
--- a/requirements_all.txt
+++ b/requirements_all.txt
@@ -795,7 +795,7 @@ hass-nabucasa==0.50.0
 hass_splunk==0.1.1
 
 # homeassistant.components.tasmota
-hatasmota==0.3.0
+hatasmota==0.3.1
 
 # homeassistant.components.jewish_calendar
 hdate==0.10.4
diff --git a/requirements_test_all.txt b/requirements_test_all.txt
index a62a75382a1..6677487dd3b 100644
--- a/requirements_test_all.txt
+++ b/requirements_test_all.txt
@@ -500,7 +500,7 @@ hangups==0.4.14
 hass-nabucasa==0.50.0
 
 # homeassistant.components.tasmota
-hatasmota==0.3.0
+hatasmota==0.3.1
 
 # homeassistant.components.jewish_calendar
 hdate==0.10.4
diff --git a/tests/components/tasmota/test_cover.py b/tests/components/tasmota/test_cover.py
index 54ac192f7c1..c036f490f6d 100644
--- a/tests/components/tasmota/test_cover.py
+++ b/tests/components/tasmota/test_cover.py
@@ -9,6 +9,7 @@ from hatasmota.utils import (
     get_topic_tele_sensor,
     get_topic_tele_will,
 )
+import pytest
 
 from homeassistant.components import cover
 from homeassistant.components.tasmota.const import DEFAULT_PREFIX
@@ -34,6 +35,35 @@ async def test_missing_relay(hass, mqtt_mock, setup_tasmota):
     """Test no cover is discovered if relays are missing."""
 
 
+@pytest.mark.parametrize(
+    "relay_config, num_covers",
+    [
+        ([3, 3, 3, 3, 3, 3, 1, 1, 3, 3], 4),
+        ([3, 3, 3, 3, 0, 0, 0, 0], 2),
+        ([3, 3, 1, 1, 0, 0, 0, 0], 1),
+        ([3, 3, 3, 1, 0, 0, 0, 0], 0),
+    ],
+)
+async def test_multiple_covers(
+    hass, mqtt_mock, setup_tasmota, relay_config, num_covers
+):
+    """Test discovery of multiple covers."""
+    config = copy.deepcopy(DEFAULT_CONFIG)
+    config["rl"] = relay_config
+    mac = config["mac"]
+
+    assert len(hass.states.async_all("cover")) == 0
+
+    async_fire_mqtt_message(
+        hass,
+        f"{DEFAULT_PREFIX}/{mac}/config",
+        json.dumps(config),
+    )
+    await hass.async_block_till_done()
+
+    assert len(hass.states.async_all("cover")) == num_covers
+
+
 async def test_controlling_state_via_mqtt(hass, mqtt_mock, setup_tasmota):
     """Test state update via MQTT."""
     config = copy.deepcopy(DEFAULT_CONFIG)