diff --git a/.github/workflows/cibuildwheel.yml b/.github/workflows/cibuildwheel.yml
index 89fea3f5..07efbb29 100644
--- a/.github/workflows/cibuildwheel.yml
+++ b/.github/workflows/cibuildwheel.yml
@@ -154,7 +154,7 @@ jobs:
           echo SKBUILD_CMAKE_ARGS="-G Ninja;-DCMAKE_Fortran_COMPILER=c:/mingw64/bin/gfortran.exe;-DCMAKE_C_COMPILER=c:/mingw64/bin/gcc.exe" >> $env:GITHUB_ENV
 
       - name: Install cibuildwheel
-        run: python -m pip install cibuildwheel==3.3.1
+        run: python -m pip install cibuildwheel==4.2.1
 
       - name: Build wheels
         run: |
diff --git a/dev-tools/check-linux-cibw.bash b/dev-tools/check-linux-cibw.bash
index bae5c614..74e3cc3c 100755
--- a/dev-tools/check-linux-cibw.bash
+++ b/dev-tools/check-linux-cibw.bash
@@ -2,4 +2,4 @@
 
 # Run cibuildwheel locally for Linux; useful as a pre-push check
 
-CIBW_ENVIRONMENT="CMAKE_ARGS='-DSLYCOT_BUNDLE_OPENBLAS=ON'" CIBW_BUILD=cp313-manylinux_x86_64 cibuildwheel
+CIBW_ENVIRONMENT="CMAKE_ARGS='-DSLYCOT_BUNDLE_OPENBLAS=ON'" CIBW_BUILD=cp315-manylinux_x86_64 cibuildwheel
diff --git a/pyproject.toml b/pyproject.toml
index af007c00..b246f17c 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -25,6 +25,7 @@ classifiers = [
     "Programming Language :: Python :: 3.12",
     "Programming Language :: Python :: 3.13",
     "Programming Language :: Python :: 3.14",
+    "Programming Language :: Python :: 3.15",
     "Topic :: Software Development",
     "Topic :: Scientific/Engineering",
     "Operating System :: Microsoft :: Windows",
@@ -65,7 +66,7 @@ before-build = "python {project}/build-tools/cibw_before_build.py 0.3.31.22.1 {p
 test-command = "pytest --pyargs slycot"
 test-extras = ['test']
 
-skip = ["cp38-*", "cp39-*", "cp3??t-*", "*-win32", "*-win_arm64"]
+skip = ["cp39-*", "cp3??t-*", "*-win32", "*-win_arm64"]
 
 [tool.cibuildwheel.linux]
 repair-wheel-command = [