diff --git a/doc/_pages/installation.md b/doc/_pages/installation.md
index 9d1c28fea883..cb56101b408d 100644
--- a/doc/_pages/installation.md
+++ b/doc/_pages/installation.md
@@ -45,7 +45,7 @@ that Conda is involved.
 
 ⁽³⁾ The Python version shown in the table is supported for all installation
 channels. Additionally, when installing via ``pip``
-on Ubuntu Python versions 3.10 through 3.12 (inclusive) are supported and
+on Ubuntu Python versions 3.10 through 3.13 (inclusive) are supported and
 on macOS Python versions 3.11 through 3.12 (inclusive) are supported.
 Refer to [OS Support](/stable.html#os-support) for details on our "end of life"
 timeline for changing which Python versions are supported.
diff --git a/doc/_pages/release_playbook.md b/doc/_pages/release_playbook.md
index 2ba04454d8ba..4cdd5a5164ed 100644
--- a/doc/_pages/release_playbook.md
+++ b/doc/_pages/release_playbook.md
@@ -169,11 +169,11 @@ the main body of the document:
       appropriate edits as follows:
       * The version number
    5. Click the box labeled "Attach binaries by dropping them here or selecting
-      them." and then choose for upload the **30** release files from
+      them." and then choose for upload the **33** release files from
       ``/tmp/drake-release/v1.N.0/...``:
       - 9: 3 `.tar.gz` + 6 checksums
       - 6: 2 `.deb` + 4 checksums
-      - 9: 3 linux `.whl` + 6 checksums
+      - 12: 4 linux `.whl` + 8 checksums
       - 6: 2 macOS arm `.whl` + 4 checksums
       * Note that on Jammy with `snap` provided Firefox, drag-and-drop from
         Nautilus will fail, and drop all of your release page inputs typed so
diff --git a/tools/release_engineering/download_release_candidate.py b/tools/release_engineering/download_release_candidate.py
index 8cdd10bb3454..1b830a24a34c 100644
--- a/tools/release_engineering/download_release_candidate.py
+++ b/tools/release_engineering/download_release_candidate.py
@@ -133,6 +133,7 @@ def _download_binaries(*, timestamp, staging, version):
                 f"drake-{version[1:]}-cp310-cp310-manylinux_2_35_x86_64.whl",
                 f"drake-{version[1:]}-cp311-cp311-manylinux_2_35_x86_64.whl",
                 f"drake-{version[1:]}-cp312-cp312-manylinux_2_35_x86_64.whl",
+                f"drake-{version[1:]}-cp312-cp313-manylinux_2_35_x86_64.whl",
                 f"drake-{version[1:]}-cp311-cp311-macosx_14_0_arm64.whl",
                 f"drake-{version[1:]}-cp312-cp312-macosx_14_0_arm64.whl",
                 # Deb filenames.
diff --git a/tools/wheel/image/build-python.sh b/tools/wheel/image/build-python.sh
index 2a8c764325ad..2d8cf040e21c 100755
--- a/tools/wheel/image/build-python.sh
+++ b/tools/wheel/image/build-python.sh
@@ -7,7 +7,7 @@ set -eu -o pipefail
 
 readonly VERSION=$1
 readonly PREFIX=$2
-readonly SHA=$3
+readonly EXPECTED_SHA=$3
 
 apt-get -y update
 apt-get -y install --no-install-recommends \
@@ -23,7 +23,10 @@ mkdir -p $SRC_DIR
 cd $SRC_DIR
 
 wget $URL
-echo "$SHA  $ARCHIVE" | sha256sum -c
+readonly ACTUAL_SHA=$(sha256sum $ARCHIVE | cut -d' ' -f1)
+echo "    Actual SHA: $ACTUAL_SHA"
+echo "  Expected SHA: $EXPECTED_SHA"
+test $ACTUAL_SHA == $EXPECTED_SHA
 
 tar --strip-components=1 -xf $ARCHIVE
 rm $ARCHIVE
diff --git a/tools/wheel/wheel_builder/linux.py b/tools/wheel/wheel_builder/linux.py
index 702902fa90a6..6d7c4b80bf26 100644
--- a/tools/wheel/wheel_builder/linux.py
+++ b/tools/wheel/wheel_builder/linux.py
@@ -48,6 +48,12 @@
         test_platform=Platform('ubuntu', '24.04', 'noble'),
         python_version_tuple=(3, 12, 0),
         python_sha='795c34f44df45a0e9b9710c8c71c15c671871524cd412ca14def212e8ccb155d'),  # noqa
+    Target(
+        build_platform=Platform('ubuntu', '22.04', 'jammy'),
+        # TODO(jwnimmer-tri) Switch testing to 25.04 once it's been released.
+        test_platform=Platform('ubuntu', '24.10', 'oracular'),
+        python_version_tuple=(3, 13, 0),
+        python_sha='086de5882e3cb310d4dca48457522e2e48018ecd43da9cdf827f6a0759efb07d'),  # noqa
 )
 glibc_versions = {
     'jammy': '2_35',