diff --git a/src/humanize/time.py b/src/humanize/time.py
index 7c4a28eb..cea634dc 100644
--- a/src/humanize/time.py
+++ b/src/humanize/time.py
@@ -320,7 +320,7 @@ def _convert_aware_datetime(
 
     import datetime as dt
 
-    if isinstance(value, dt.datetime) and value.tzinfo is not None:
+    if isinstance(value, dt.datetime) and value.utcoffset() is not None:
         value = dt.datetime.fromtimestamp(value.timestamp())  # noqa: DTZ006
     return value
 
@@ -338,7 +338,7 @@ def naturalday(value: dt.date | dt.datetime, format: str = "%b %d") -> str:
     try:
         # When value is a tz-aware datetime, compute "today" in that timezone
         # so the comparison uses the correct local date.
-        if isinstance(value, dt.datetime) and value.tzinfo is not None:
+        if isinstance(value, dt.datetime) and value.utcoffset() is not None:
             today = dt.datetime.now(value.tzinfo).date()
         else:
             today = dt.date.today()  # noqa: DTZ011
@@ -369,7 +369,7 @@ def naturaldate(value: dt.date | dt.datetime) -> str:
 
     original_value = value
     try:
-        if isinstance(value, dt.datetime) and value.tzinfo is not None:
+        if isinstance(value, dt.datetime) and value.utcoffset() is not None:
             today = dt.datetime.now(value.tzinfo).date()
         else:
             today = dt.date.today()  # noqa: DTZ011
diff --git a/tests/test_time.py b/tests/test_time.py
index 887a3fc5..4c93eb49 100644
--- a/tests/test_time.py
+++ b/tests/test_time.py
@@ -42,6 +42,17 @@ def __str__(self) -> str:
         return f"{self.year}-{self.month}-{self.day}"
 
 
+class NaiveTimezone(dt.tzinfo):
+    def utcoffset(self, value: dt.datetime | None) -> None:
+        return None
+
+    def dst(self, value: dt.datetime | None) -> None:
+        return None
+
+    def tzname(self, value: dt.datetime | None) -> None:
+        return None
+
+
 VALUE_ERROR_TEST = FakeDate(290149024, 2, 2)
 OVERFLOW_ERROR_TEST = FakeDate(120390192341, 2, 2)
 
@@ -280,6 +291,36 @@ def test_naturalday(test_args: list[typing.Any], expected: str) -> None:
     assert humanize.naturalday(*test_args) == expected
 
 
+@freeze_time(FROZEN_DATE)
+@pytest.mark.parametrize("formatter", ["naturalday", "naturaldate", "naturaltime"])
+@pytest.mark.parametrize("tzinfo", [None, NaiveTimezone(), dt.UTC])
+def test_datetime_awareness(formatter: str, tzinfo: dt.tzinfo | None) -> None:
+    value = dt.datetime(2010, 2, 2, tzinfo=tzinfo)
+    format_time = getattr(humanize, formatter)
+    expected = "now" if formatter == "naturaltime" else "today"
+    assert format_time(value) == expected
+    if value.utcoffset() is None:
+        assert format_time(value) == format_time(value.replace(tzinfo=None))
+
+
+@pytest.mark.parametrize(
+    "value_tzinfo, when_tzinfo",
+    [
+        (None, None),
+        (NaiveTimezone(), None),
+        (None, NaiveTimezone()),
+        (NaiveTimezone(), NaiveTimezone()),
+        (dt.UTC, dt.UTC),
+    ],
+)
+def test_naturaltime_when_datetime_awareness(
+    value_tzinfo: dt.tzinfo | None, when_tzinfo: dt.tzinfo | None
+) -> None:
+    value = dt.datetime(2010, 2, 2, 12, tzinfo=value_tzinfo)
+    when = dt.datetime(2010, 2, 2, 11, tzinfo=when_tzinfo)
+    assert humanize.naturaltime(value, when=when) == "an hour from now"
+
+
 @freeze_time(FROZEN_DATE)
 @pytest.mark.parametrize(
     "test_input, expected",