diff --git a/.github/workflows/CI.yaml b/.github/workflows/CI.yaml
index f81679f70..c508e9aff 100644
--- a/.github/workflows/CI.yaml
+++ b/.github/workflows/CI.yaml
@@ -43,6 +43,25 @@ jobs:
       - name: Build docs
         run: ./build.sh --debug docs
 
+  build_windows:
+    name: Build and test the library on Windows Server (${{ matrix.JOBNAME }})
+    runs-on: windows-latest
+    strategy:
+      fail-fast: false
+      matrix:
+        include:
+          - JOBNAME: gcc-4.8 test 1
+            TEST_SCRIPT: ./scripts/ci-osx-gcc-4.8-test-1.sh
+    steps:
+      - name: Check out sources
+        uses: actions/checkout@v2
+      - name: Prepare container
+        run: ./scripts/prepare-container-osx.sh
+      - name: Build and test library
+        env:
+          TEST_SCRIPT: ${{ matrix.TEST_SCRIPT || env.TEST_SCRIPT }}
+        run: ${TEST_SCRIPT} testing
+
   build:
     name: Build and test the library (${{ matrix.JOBNAME }})
     runs-on: ubuntu-18.04
diff --git a/scripts/ci-windows-gcc-4.8-test-1.sh b/scripts/ci-windows-gcc-4.8-test-1.sh
new file mode 100755
index 000000000..d5fdb4282
--- /dev/null
+++ b/scripts/ci-windows-gcc-4.8-test-1.sh
@@ -0,0 +1,16 @@
+#!/bin/bash
+
+set -e -u -x
+
+basedir=$(readlink --canonicalize $(dirname $0)/..)
+
+[[ -f ${basedir}/scripts/ci-defaults.sh ]] && . ${basedir}/scripts/ci-defaults.sh
+
+export CC=gcc-4.8
+export CXX=g++-4.8
+export FC=gfortran-4.8
+export BUILD_SHARED_LIBS=yes
+export BML_OPENMP=no
+export BML_INTERNAL_BLAS=no
+
+${basedir}/build.sh testing
diff --git a/scripts/prepare-container-windows.sh b/scripts/prepare-container-windows.sh
new file mode 100755
index 000000000..e802cb89e
--- /dev/null
+++ b/scripts/prepare-container-windows.sh
@@ -0,0 +1,7 @@
+#!/bin/bash
+
+set -e -u -x
+
+choco install \
+  cmake \
+  llvm