diff --git a/.github/workflows/benchmarks.yaml b/.github/workflows/benchmarks.yaml
index 9732ed5509..770b65ff5e 100644
--- a/.github/workflows/benchmarks.yaml
+++ b/.github/workflows/benchmarks.yaml
@@ -16,7 +16,7 @@ jobs:
     steps:
       - uses: actions/setup-python@v5
         with:
-            python-version: "3.12"
+            python-version: "3.13"
 
       - uses: actions/checkout@v4
         with:
diff --git a/.github/workflows/build.yaml b/.github/workflows/build.yaml
index c7749051e9..021de88e01 100644
--- a/.github/workflows/build.yaml
+++ b/.github/workflows/build.yaml
@@ -25,7 +25,7 @@ jobs:
 
     - uses: actions/setup-python@v5
       with:
-        python-version: 3.12
+        python-version: 3.13
 
     - uses: astral-sh/setup-uv@v5
     - run: uv pip install --upgrade setuptools_scm twine --system
diff --git a/.github/workflows/plugin_tests.yaml b/.github/workflows/plugin_tests.yaml
index ca67cf1c95..63ea1f3ff6 100644
--- a/.github/workflows/plugin_tests.yaml
+++ b/.github/workflows/plugin_tests.yaml
@@ -19,7 +19,7 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-latest]
-        pyv: ["3.12"]
+        pyv: ["3.13"]
         plugin: ["dvc-s3"]
 
     steps:
diff --git a/.github/workflows/tests.yaml b/.github/workflows/tests.yaml
index 273c72cf37..2ae28c7506 100644
--- a/.github/workflows/tests.yaml
+++ b/.github/workflows/tests.yaml
@@ -32,7 +32,7 @@ jobs:
     - name: Set up Python
       uses: actions/setup-python@v5
       with:
-        python-version: '3.12'
+        python-version: '3.13'
     - uses: astral-sh/setup-uv@v5
       with:
         enable-cache: true
@@ -55,7 +55,7 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-latest, macos-latest]
-        pyv: ["3.9", "3.10", "3.11", "3.12"]
+        pyv: ["3.9", "3.10", "3.11", "3.12", "3.13"]
         include:
         - os: windows-latest
           pyv: "3.9"
diff --git a/pyproject.toml b/pyproject.toml
index 680794c8e4..37cdeb234b 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -27,6 +27,7 @@ classifiers = [
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
 ]
 dynamic = ["version"]
 
@@ -172,6 +173,8 @@ filterwarnings = [
     "ignore:Deprecated call to `pkg_resources.declare_namespace:DeprecationWarning",
     # see https://github.com/networkx/networkx/issues/5723.
     "ignore:nx.nx_pydot.* depends on the pydot package, which has.*known issues and is not actively maintained:DeprecationWarning",
+    # TODO: investigate where we are not closing sqlite3.Connection
+    "ignore:unclosed database.*sqlite3.Connection:ResourceWarning",
 ]
 log_level = "debug"
 markers = [
diff --git a/tests/unit/test_logger.py b/tests/unit/test_logger.py
index d7bad94894..d478f1c5e1 100644
--- a/tests/unit/test_logger.py
+++ b/tests/unit/test_logger.py
@@ -1,7 +1,5 @@
 import logging
-import time
 import traceback
-from datetime import datetime
 
 import colorama
 import pytest
@@ -22,11 +20,9 @@
 
 @pytest.fixture
 def dt(mocker):
-    mocker.patch(
-        "time.time",
-        return_value=time.mktime(datetime(2020, 2, 2).timetuple()),  # noqa: DTZ001
-    )
-    return "2020-02-02 00:00:00,000"
+    dt_str = "2020-02-02 00:00:00,000"
+    mocker.patch.object(formatter, "formatTime", return_value=dt_str)
+    return dt_str
 
 
 class TestColorFormatter:
diff --git a/tests/unit/ui/test_pager.py b/tests/unit/ui/test_pager.py
index 48b71a66b8..90928a7cf2 100644
--- a/tests/unit/ui/test_pager.py
+++ b/tests/unit/ui/test_pager.py
@@ -1,3 +1,5 @@
+from pydoc import plainpager
+
 import pytest
 
 from dvc.env import DVC_PAGER
@@ -70,8 +72,8 @@ def test_dvc_sets_some_options_on_less_if_less_env_defined(mocker, monkeypatch,
     assert find_pager() == "less --RAW-CONTROL-CHARS --chop-long-lines"
 
 
-def test_make_pager_when_no_pager_found(mocker, monkeypatch):
-    assert make_pager(None).__name__ == "plainpager"
+def test_make_pager_when_no_pager_found():
+    assert make_pager(None) is plainpager
 
 
 def test_pager(mocker, monkeypatch):