diff --git a/.github/workflows/basemap-for-manylinux.yml b/.github/workflows/basemap-for-manylinux.yml
index c7e0d83f9..c6c0bba86 100644
--- a/.github/workflows/basemap-for-manylinux.yml
+++ b/.github/workflows/basemap-for-manylinux.yml
@@ -36,7 +36,7 @@ jobs:
     strategy:
       matrix:
         python-version:
-          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10"]
+          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "3.11"]
       max-parallel: 3
       fail-fast: false
     needs: checkout
@@ -128,7 +128,7 @@ jobs:
         arch:
           ["x64", "x86"]
         python-version:
-          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10"]
+          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "3.11"]
       max-parallel: 3
       fail-fast: false
     needs: build-geos
@@ -158,18 +158,37 @@ jobs:
           case "${{ matrix.python-version }}" in
               2.6|3.[23])      pkgvers=1.11.3;;
               2.7|3.[456789])  pkgvers=1.16.6;;
-              *)               pkgvers=1.21.4;;
+              3.10)            pkgvers=1.21.4;;
+              *)               pkgvers=1.23.3;;
           esac
-          pip install "numpy == ${pkgvers}"
+          # Dirty solution to get NumPy headers for Python 3.11.
+          if [ "${{ matrix.python-version }}" = "3.11" ]; then
+              case "${{ matrix.arch }}" in
+                  x64)  kwds="--plat=manylinux_2_17_x86_64" ;;
+                  x86)  kwds="--plat=manylinux_2_17_i686"   ;;
+              esac
+              pip download --no-deps ${kwds} "numpy==${pkgvers}"
+              oldpkgfile=$(ls *.whl | head -n1)
+              newpkgfile=$(echo "${oldpkgfile}" | sed 's/manylinux_2_17/linux/')
+              mv "${oldpkgfile}" "${newpkgfile}"
+              pip install "${newpkgfile}"
+              rm "${newpkgfile}"
+          else
+              pip install "numpy == ${pkgvers}"
+          fi
       -
         name: Build wheel
         run: |
           sitepkgdir=$(pip show numpy 2>/dev/null | grep Location: | cut -d' ' -f2)
           export GEOS_DIR="${GITHUB_WORKSPACE}/${{ env.PKGDIR }}/extern"
           export NUMPY_INCLUDE_PATH=${sitepkgdir}/numpy/core/include
+          if [ "${{ matrix.python-version }}" = "3.11" ]; then
+              kwds="--no-build-isolation"
+              pip install setuptools wheel "cython >= 0.29, < 3.1"
+          fi
           cd ${{ env.PKGDIR }}
           python setup.py sdist
-          pip wheel -w dist --no-deps dist/*.zip
+          pip wheel -w dist --no-deps ${kwds} dist/*.zip
       -
         name: Upload build artifacts
         uses: actions/upload-artifact@v1
@@ -183,7 +202,7 @@ jobs:
         arch:
           ["x64", "x86"]
         python-version:
-          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10"]
+          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "3.11"]
       max-parallel: 3
       fail-fast: false
     needs: build
@@ -203,18 +222,11 @@ jobs:
           name: artifacts-build-${{ matrix.arch }}-${{ matrix.python-version }}
           path: ${{ env.PKGDIR }}/dist
       -
-        name: Install unzip
+        name: Install auditwheel
         run: |
           apt-get update
           apt-get install -y unzip
-      -
-        name: Install patchelf
-        run: |
           pip install patchelf
-          alias patchelf="python -m patchelf"
-      -
-        name: Install auditwheel
-        run: |
           pip install "auditwheel < 4.0"
       -
         name: Repair wheel
@@ -235,7 +247,7 @@ jobs:
         arch:
           ["x64", "x86"]
         python-version:
-          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10"]
+          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "3.11"]
       max-parallel: 3
       fail-fast: false
     needs: repair
@@ -254,13 +266,6 @@ jobs:
         with:
           name: artifacts-build-${{ matrix.arch }}-${{ matrix.python-version }}
           path: ${{ env.PKGDIR }}/dist
-      -
-        name: Install matplotlib dependencies
-        run: |
-          apt-get update
-          apt-get install -y gcc g++ make
-          apt-get install -y pkg-config libfreetype6-dev libpng12-dev
-        if: matrix.arch == 'x86' && matrix.python-version == '3.5'
       -
         name: Install numpy from source
         run: |
@@ -284,7 +289,7 @@ jobs:
         arch:
           ["x64", "x86"]
         python-version:
-          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10"]
+          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "3.11"]
       max-parallel: 1
     if: startsWith(github.event.ref, 'refs/tags/v')
     needs: test
diff --git a/.github/workflows/basemap-for-windows.yml b/.github/workflows/basemap-for-windows.yml
index d9e68ce25..6107dea94 100644
--- a/.github/workflows/basemap-for-windows.yml
+++ b/.github/workflows/basemap-for-windows.yml
@@ -36,7 +36,7 @@ jobs:
     strategy:
       matrix:
         python-version:
-          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10"]
+          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "3.11"]
       max-parallel: 3
       fail-fast: false
     needs: checkout
@@ -137,7 +137,7 @@ jobs:
         arch:
           ["x64", "x86"]
         python-version:
-          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10"]
+          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "3.11"]
       max-parallel: 3
       fail-fast: false
     needs: build-geos
@@ -179,7 +179,8 @@ jobs:
           Switch -regex ("${{ matrix.python-version }}") {
               "^2\.6|3\.[123]$"     { Set-Variable -Name "pkgvers" -Value "1.11.3" }
               "^2\.7|3\.[456789]$"  { Set-Variable -Name "pkgvers" -Value "1.16.6" }
-              default               { Set-Variable -Name "pkgvers" -Value "1.21.4" }
+              "^3\.10$"             { Set-Variable -Name "pkgvers" -Value "1.21.4" }
+              default               { Set-Variable -Name "pkgvers" -Value "1.23.3" }
           }
           $env:SETUPTOOLS_USE_DISTUTILS = "stdlib"
           python -m pip install "numpy == ${pkgvers}"
@@ -210,7 +211,7 @@ jobs:
         arch:
           ["x64", "x86"]
         python-version:
-          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10"]
+          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "3.11"]
       max-parallel: 3
       fail-fast: false
     needs: build
@@ -232,11 +233,15 @@ jobs:
         name: Install package
         run: |
           pip install --prefer-binary (Get-Item ${{ env.PKGDIR }}/dist/*-win*.whl)
+        # We need to skip Py311 x86 because of missing pyproj wheels.
+        if: matrix.arch != 'x86' || matrix.python-version != '3.11'
       -
         name: Test package
         run: |
           python -c "from mpl_toolkits.basemap import Basemap"
           python -c "from mpl_toolkits.basemap import cm"
+        # We need to skip Py311 x86 because of missing pyproj wheels.
+        if: matrix.arch != 'x86' || matrix.python-version != '3.11'
 
   upload:
     strategy:
@@ -244,7 +249,7 @@ jobs:
         arch:
           ["x64", "x86"]
         python-version:
-          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10"]
+          ["2.7", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "3.11"]
       max-parallel: 1
     if: startsWith(github.event.ref, 'refs/tags/v')
     needs: test
diff --git a/CHANGELOG.md b/CHANGELOG.md
index d01577549..064df3ab9 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -12,6 +12,9 @@ https://semver.org/spec/v2.0.0.html
 
 ## [1.3.6]
 
+### Added
+- Support for Python 3.11 (PR [#563], solves issue [#561]).
+
 ### Changed
 - Upgrade `matplotlib` upper pin to 3.7.
 - Upgrade `pyproj` upper pin to 3.5.
@@ -940,6 +943,10 @@ https://semver.org/spec/v2.0.0.html
 - Fix glitches in drawing of parallels and meridians.
 
 
+[#563]:
+https://github.com/matplotlib/basemap/pull/563
+[#561]:
+https://github.com/matplotlib/basemap/issues/561
 [#560]:
 https://github.com/matplotlib/basemap/pull/560
 [#559]:
diff --git a/packages/basemap/pyproject.toml b/packages/basemap/pyproject.toml
index f9a33dfc0..26e78d87a 100644
--- a/packages/basemap/pyproject.toml
+++ b/packages/basemap/pyproject.toml
@@ -2,7 +2,8 @@
 requires = [
     'setuptools',
     'wheel',
-    'numpy == 1.21.4; python_version >= "3.10"',
+    'numpy == 1.23.3; python_version >= "3.11"',
+    'numpy == 1.21.4; python_version == "3.10"',
     'numpy == 1.21.4; sys_platform == "darwin" and (python_version >= "3.7" and python_version <= "3.9")',
     'numpy == 1.16.6; sys_platform != "darwin" and (python_version >= "3.7" and python_version <= "3.9")',
     'numpy == 1.16.6; python_version == "2.7" or (python_version >= "3.4" and python_version <= "3.6")',