diff --git a/.github/workflows/build_cuda.yml b/.github/workflows/build_cuda.yml
index 6752e822..457f08ac 100644
--- a/.github/workflows/build_cuda.yml
+++ b/.github/workflows/build_cuda.yml
@@ -33,13 +33,14 @@ jobs:
         choco install windows-sdk-8.1
 
     - name: Build wheels
-      uses: pypa/cibuildwheel@v2.19
+      uses: pypa/cibuildwheel@v2.20
       with:
         package-dir: backend/cuda
         output-dir: wheelhouse
       env:
         CIBW_BUILD: "cp3*"
-        CIBW_SKIP: "cp36-* cp37-* *-win32 *-manylinux_i686 *-musllinux_* *-macosx_*"
+        # Temporarily skip 3.13 because it is still an RC and our dependencies aren't there yet
+        CIBW_SKIP: "cp36-* cp37-* *-win32 *-manylinux_i686 *-musllinux_* *-macosx_* cp313-*"
         CIBW_BUILD_VERBOSITY: 1
 
         # Clean the build directory between builds
diff --git a/.github/workflows/build_default.yml b/.github/workflows/build_default.yml
index 9025197a..1be1d025 100644
--- a/.github/workflows/build_default.yml
+++ b/.github/workflows/build_default.yml
@@ -63,12 +63,13 @@ jobs:
         platforms: arm64
 
     - name: Build wheels
-      uses: pypa/cibuildwheel@v2.19
+      uses: pypa/cibuildwheel@v2.20
       with:
         output-dir: wheelhouse
       env:
         CIBW_BUILD: "cp3*"
-        CIBW_SKIP: "cp36-* cp37-* *-win32 *-manylinux_i686 *-musllinux_*"
+        # Temporarily skip 3.13 because it is still an RC and our dependencies aren't there yet
+        CIBW_SKIP: "cp36-* cp37-* *-win32 *-manylinux_i686 *-musllinux_* cp313-*"
         # Clean the build directory between builds
         CIBW_BEFORE_BUILD: >-
           rm -rf {package}/osqp_sources/build
diff --git a/.github/workflows/build_mkl.yml b/.github/workflows/build_mkl.yml
index a06a58cf..e0ef0620 100644
--- a/.github/workflows/build_mkl.yml
+++ b/.github/workflows/build_mkl.yml
@@ -25,13 +25,14 @@ jobs:
     - uses: actions/checkout@master
 
     - name: Build wheels
-      uses: pypa/cibuildwheel@v2.19
+      uses: pypa/cibuildwheel@v2.20
       with:
         package-dir: backend/mkl
         output-dir: wheelhouse
       env:
         CIBW_BUILD: "cp3*"
-        CIBW_SKIP: "cp36-* cp37-* *-win32 *-manylinux_i686 *-musllinux_*"
+        # Temporarily skip 3.13 because it is still an RC and our dependencies aren't there yet
+        CIBW_SKIP: "cp36-* cp37-* *-win32 *-manylinux_i686 *-musllinux_* cp313-*"
         CIBW_BUILD_VERBOSITY: 1
 
         # Clean the build directory between builds