diff --git a/.github/workflows/pytest.yml b/.github/workflows/pytest.yml
index 4f02a92..e1ca168 100644
--- a/.github/workflows/pytest.yml
+++ b/.github/workflows/pytest.yml
@@ -26,7 +26,7 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu]
-        python-version: ["3.8", "3.9", "3.10", "3.11", "3.12"]
+        python-version: ["3.8", "3.9", "3.10", "3.11", "3.12", "3.13"]
         requirements: [latest]
         include:
           # Test on macos and windows (first and last version of python only)
@@ -34,13 +34,13 @@ jobs:
             python-version: "3.8"
             requirements: latest
           - os: macos
-            python-version: "3.12"
+            python-version: "3.13"
             requirements: latest
           - os: windows
             python-version: "3.8"
             requirements: latest
           - os: windows
-            python-version: "3.12"
+            python-version: "3.13"
             requirements: latest
           # Test on minimal requirements
           - os: ubuntu
@@ -54,7 +54,7 @@ jobs:
             requirements: minimal
           # Test on nightly builds of requirements
           - os: ubuntu
-            python-version: "3.12"
+            python-version: "3.13"
             requirements: upstream
 
     steps:
@@ -83,9 +83,6 @@ jobs:
       - name: Install nightly builds
         if: ${{ matrix.requirements == 'upstream' }}
         run: |
-          # Pick up https://github.com/mamba-org/mamba/pull/2903
-          mamba install -n base 'mamba>=1.5.2'
-
           mamba uninstall --force numpy pandas scipy pyarrow
           python -m pip install --no-deps --pre --prefer-binary \
               --extra-index-url https://pypi.fury.io/arrow-nightlies/ \
diff --git a/doc/whats-new.rst b/doc/whats-new.rst
index db61c3c..ed19667 100644
--- a/doc/whats-new.rst
+++ b/doc/whats-new.rst
@@ -9,6 +9,7 @@ v0.7.0 (unreleased)
 -------------------
 - ``interpolate``: Added support for timedelta coordinates;
   fixed support for datetime coordinates other than ``M8[ns]`` in xarray 2025.1.2.
+- Added formal support for Python 3.13 (but the previous version works fine too)
 
 
 .. _whats-new.0.6.0:
diff --git a/pyproject.toml b/pyproject.toml
index 2375a75..db4eeb6 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -17,6 +17,7 @@ classifiers = [
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
 ]
 requires-python = ">=3.8"
 dependencies = [