diff --git a/.github/workflows/ci_workflows.yml b/.github/workflows/ci_workflows.yml
index 76feaab5e0..4bc40ce88d 100644
--- a/.github/workflows/ci_workflows.yml
+++ b/.github/workflows/ci_workflows.yml
@@ -63,6 +63,13 @@ jobs:
             toxenv: py310-test
             allow_failure: false
 
+          - name: Linux - Python 3.13
+            os: ubuntu-latest
+            python: '3.13'
+            toxenv: py313-test
+            allow_failure: false
+
+          # FIXME: Upgrade to Python 3.13 after glue-viz/bqplot-image-gl#111 is resolved.
           # 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
diff --git a/pyproject.toml b/pyproject.toml
index 14beb14f6a..b6bfb9f609 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -135,6 +135,7 @@ filterwarnings = [
     "ignore:The unit 'Angstrom' has been deprecated in the VOUnit standard\\. Suggested.* 0\\.1nm\\.",
     "ignore:((.|\n)*)Sentinel is not a public part of the traitlets API((.|\n)*)",
     "ignore:datetime\\.datetime\\.utcfromtimestamp:DeprecationWarning",  # asdf + dateutil<=2.8.2 + Python 3.12
+    "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 07eecb30c0..d3a604ff09 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,6 +1,6 @@
 [tox]
 envlist =
-    py{310,311,312}-test{,-alldeps,-devdeps,-predeps}{-romandeps}{,-cov}
+    py{310,311,312,313}-test{,-alldeps,-devdeps,-predeps}{-romandeps}{,-cov}
     linkcheck
     codestyle
     pep517