diff --git a/aioesphomeapi/util.py b/aioesphomeapi/util.py
index cc91a820..02072522 100644
--- a/aioesphomeapi/util.py
+++ b/aioesphomeapi/util.py
@@ -45,7 +45,7 @@ def host_is_name_part(address: str) -> bool:
 
 def address_is_local(address: str) -> bool:
     """Return True if the address is a local address."""
-    return address.removesuffix(".").endswith(".local")
+    return address.removesuffix(".").lower().endswith(".local")
 
 
 def is_ip_address(address: str | None) -> bool:
diff --git a/tests/test_util.py b/tests/test_util.py
index d79f032c..8efec248 100644
--- a/tests/test_util.py
+++ b/tests/test_util.py
@@ -5,7 +5,7 @@
 import pytest
 
 from aioesphomeapi import util
-from aioesphomeapi.util import is_ip_address
+from aioesphomeapi.util import address_is_local, is_ip_address
 
 
 @pytest.mark.parametrize(
@@ -119,3 +119,22 @@ async def _eager_task():
 )
 def test_is_ip_address(address: str | None, expected: bool) -> None:
     assert is_ip_address(address) is expected
+
+
+@pytest.mark.parametrize(
+    ("address", "expected"),
+    [
+        ("myesp.local", True),
+        ("myesp.local.", True),
+        # mDNS / DNS names are case-insensitive (RFC 6762 §16, RFC 4343).
+        ("MyESP.LOCAL", True),
+        ("myesp.Local", True),
+        ("MYESP.LOCAL.", True),
+        ("myesp", False),
+        ("myesp.localdomain", False),
+        ("host.example.com", False),
+        ("", False),
+    ],
+)
+def test_address_is_local(address: str, expected: bool) -> None:
+    assert address_is_local(address) is expected