diff --git a/src/marshmallow/fields.py b/src/marshmallow/fields.py
index 42e529c95..ceb32aa91 100644
--- a/src/marshmallow/fields.py
+++ b/src/marshmallow/fields.py
@@ -1285,8 +1285,6 @@ def _serialize(self, value, attr, obj, **kwargs) -> str | float | None:
         return value.strftime(data_format)
 
     def _deserialize(self, value, attr, data, **kwargs) -> dt.datetime:
-        if not value:  # Falsy values, e.g. '', None, [] are not valid
-            raise self.make_error("invalid", input=value, obj_type=self.OBJ_TYPE)
         data_format = self.format or self.DEFAULT_FORMAT
         func = self.DESERIALIZATION_FUNCS.get(data_format)
         try:
diff --git a/src/marshmallow/utils.py b/src/marshmallow/utils.py
index 1194bb3a7..a5fe72624 100644
--- a/src/marshmallow/utils.py
+++ b/src/marshmallow/utils.py
@@ -192,6 +192,8 @@ def from_iso_date(value):
 
 
 def from_timestamp(value: typing.Any) -> dt.datetime:
+    if value is True or value is False:
+        raise ValueError("Not a valid POSIX timestamp")
     value = float(value)
     if value < 0:
         raise ValueError("Not a valid POSIX timestamp")
diff --git a/tests/test_deserialization.py b/tests/test_deserialization.py
index 6c32feadb..442b5efbd 100644
--- a/tests/test_deserialization.py
+++ b/tests/test_deserialization.py
@@ -422,6 +422,9 @@ def test_field_toggle_show_invalid_value_in_error_message(self):
         [
             "not-a-datetime",
             42,
+            True,
+            False,
+            0,
             "",
             [],
             "2018",
@@ -576,7 +579,7 @@ def test_timestamp_field_deserialization(self, fmt, value, expected):
     @pytest.mark.parametrize("fmt", ["timestamp", "timestamp_ms"])
     @pytest.mark.parametrize(
         "in_value",
-        ["", "!@#", 0, -1, dt.datetime(2013, 11, 10, 1, 23, 45)],
+        ["", "!@#", -1, dt.datetime(2013, 11, 10, 1, 23, 45)],
     )
     def test_invalid_timestamp_field_deserialization(self, fmt, in_value):
         field = fields.DateTime(format=fmt)