diff --git a/.github/workflows/ci_workflows.yml b/.github/workflows/ci_workflows.yml
index 76feaab5e0..eebe59a549 100644
--- a/.github/workflows/ci_workflows.yml
+++ b/.github/workflows/ci_workflows.yml
@@ -63,12 +63,18 @@ jobs:
             toxenv: py310-test
             allow_failure: false
 
+          - name: Linux - Python 3.13
+            os: ubuntu-latest
+            python: '3.13'
+            toxenv: py313-test
+            allow_failure: false
+
           # This also runs on cron but we want to make sure new changes
           # won't break this job at the PR stage.
-          - name: Python 3.12 with latest dev versions of key dependencies, and remote data
+          - name: Python 3.13 with latest dev versions of key dependencies, and remote data
             os: ubuntu-latest
-            python: '3.12'
-            toxenv: py312-test-devdeps
+            python: '3.13'
+            toxenv: py313-test-devdeps
             toxposargs: --remote-data --run-slow
             allow_failure: true
 
diff --git a/pyproject.toml b/pyproject.toml
index f03840a362..87cffe5ede 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -140,6 +140,7 @@ filterwarnings = [
     "ignore:datetime\\.datetime\\.utcfromtimestamp:DeprecationWarning",  # asdf + dateutil<=2.8.2 + Python 3.12
     "ignore:'audioop' is deprecated and slated for removal in Python 3.13",
     "ignore:Importing display from IPython.core.display is deprecated since IPython 7.14, please import from IPython.display",
+    "ignore:Parsing dates involving a day of month without a year:DeprecationWarning",  # ipykernel<7
     "ignore::DeprecationWarning:glue",
     "ignore::DeprecationWarning:asteval",
     "ignore:::specutils.spectra.spectrum1d",
diff --git a/tox.ini b/tox.ini
index e33e4b5c33..2bf9780ee6 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,6 +1,6 @@
 [tox]
 envlist =
-    py{310,311,312}-test{,-alldeps,-devdeps,-predeps}{-romandeps,-straussdeps}{,-cov}
+    py{310,311,312,313}-test{,-alldeps,-devdeps,-predeps}{-romandeps,-straussdeps}{,-cov}
     linkcheck
     codestyle
     pep517