diff --git a/src/humanize/time.py b/src/humanize/time.py
index 4a07d52..14f8a84 100644
--- a/src/humanize/time.py
+++ b/src/humanize/time.py
@@ -313,12 +313,15 @@ def _convert_aware_datetime(
     return value
 
 
-def naturalday(value: dt.date | dt.datetime, format: str = "%b %d") -> str:
+def naturalday(
+    value: dt.date | dt.datetime, format: str = "%b %d", *, weekday: bool = False
+) -> str:
     """Return a natural day.
 
     For date values that are tomorrow, today or yesterday compared to
-    present day return representing string. Otherwise, return a string
-    formatted according to `format`.
+    present day return representing string. If `weekday` is True, dates within
+    6 days past or future will return weekday names (e.g. 'this Monday',
+    'last Friday'). Otherwise, return a string formatted according to `format`.
 
     """
     import datetime as dt
@@ -348,6 +351,14 @@ def naturalday(value: dt.date | dt.datetime, format: str = "%b %d") -> str:
     if delta.days == -1:
         return _("yesterday")
 
+    if weekday and 1 < delta.days <= 6:
+        day_name = value.strftime("%A")
+        return _("this %s") % day_name
+
+    if weekday and -6 <= delta.days < -1:
+        day_name = value.strftime("%A")
+        return _("last %s") % day_name
+
     return value.strftime(format)
 
 
diff --git a/tests/test_time.py b/tests/test_time.py
index 7699770..e9705ac 100644
--- a/tests/test_time.py
+++ b/tests/test_time.py
@@ -852,3 +852,23 @@ def test_time_unit() -> None:
 )
 def test_rounding_by_fmt(fmt: str, value: float, expected: float) -> None:
     assert time._rounding_by_fmt(fmt, value) == pytest.approx(expected)
+
+
+def test_naturalday_weekday() -> None:
+    with freeze_time("2026-08-12"):  # Wednesday
+        today = dt.date.today()
+        future_day = today + dt.timedelta(days=3)
+        assert humanize.naturalday(future_day, weekday=True) == "this Saturday"
+
+        past_day = today - dt.timedelta(days=3)
+        assert humanize.naturalday(past_day, weekday=True) == "last Sunday"
+
+        assert humanize.naturalday(today, weekday=True) == "today"
+        assert (
+            humanize.naturalday(today + dt.timedelta(days=1), weekday=True)
+            == "tomorrow"
+        )
+        assert (
+            humanize.naturalday(today - dt.timedelta(days=1), weekday=True)
+            == "yesterday"
+        )