diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 1732366..65e6800 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -17,7 +17,7 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-latest, macos-13, windows-latest]
-        python-version: [3.7, 3.8, 3.9, "3.10", "3.11", 3.12]
+        python-version: [3.7, 3.8, 3.9, "3.10", "3.11", 3.12, 3.13]
 
     steps:
       - uses: actions/checkout@v4
@@ -28,6 +28,7 @@ jobs:
         uses: actions/setup-python@v5
         with:
           python-version: ${{ matrix.python-version }}
+          allow-prereleases: true
 
       - name: Get full python version
         id: full-python-version
diff --git a/CHANGELOG.md b/CHANGELOG.md
index aaeac72..2d04cc7 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,5 +1,11 @@
 # Change Log
 
+## [unreleased]
+
+### Fixed
+
+- Fix the incompatiblity with 3.13 because of the `datetime.replace()` change. ([#333](https://github.com/python-poetry/tomlkit/issues/333))
+
 ## [0.12.4] - 2024-05-08
 
 ### Fixed
diff --git a/tests/test_items.py b/tests/test_items.py
index 1a71b04..3d2de68 100644
--- a/tests/test_items.py
+++ b/tests/test_items.py
@@ -689,7 +689,7 @@ def test_dates_behave_like_dates():
     assert i.as_string() == "2018-07-22"
 
     i += timedelta(days=1)
-    assert i == datetime(2018, 7, 23)
+    assert i == date(2018, 7, 23)
     assert i.as_string() == "2018-07-23"
 
     i -= timedelta(days=2)
@@ -697,7 +697,7 @@ def test_dates_behave_like_dates():
     assert i.as_string() == "2018-07-21"
 
     i = i.replace(year=2019)
-    assert i == datetime(2019, 7, 21)
+    assert i == date(2019, 7, 21)
     assert i.as_string() == "2019-07-21"
 
     doc = parse("dt = 2018-07-22 # Comment")
diff --git a/tomlkit/items.py b/tomlkit/items.py
index ef40a15..661e09c 100644
--- a/tomlkit/items.py
+++ b/tomlkit/items.py
@@ -958,9 +958,14 @@ def __new__(cls, year: int, month: int, day: int, *_: Any) -> date:
         return date.__new__(cls, year, month, day)
 
     def __init__(
-        self, year: int, month: int, day: int, trivia: Trivia, raw: str
+        self,
+        year: int,
+        month: int,
+        day: int,
+        trivia: Trivia | None = None,
+        raw: str = "",
     ) -> None:
-        super().__init__(trivia)
+        super().__init__(trivia or Trivia())
 
         self._raw = raw
 
@@ -1033,10 +1038,10 @@ def __init__(
         second: int,
         microsecond: int,
         tzinfo: tzinfo | None,
-        trivia: Trivia,
-        raw: str,
+        trivia: Trivia | None = None,
+        raw: str = "",
     ) -> None:
-        super().__init__(trivia)
+        super().__init__(trivia or Trivia())
 
         self._raw = raw