diff --git a/.github/workflows/dynamic_arch.yml b/.github/workflows/dynamic_arch.yml
index 153c63045..c34b0c462 100644
--- a/.github/workflows/dynamic_arch.yml
+++ b/.github/workflows/dynamic_arch.yml
@@ -257,3 +257,53 @@ jobs:
       - name: Run tests
         timeout-minutes: 60
         run: cd build && ctest
+
+  cross_build:
+    runs-on: ubuntu-22.04
+
+    strategy:
+      fail-fast: false
+      matrix:
+        include:
+          - target: mips64el
+            triple: mips64el-linux-gnuabi64
+            opts: DYNAMIC_ARCH=1
+          - target: riscv64
+            triple: riscv64-linux-gnu
+            opts: TARGET=RISCV64_GENERIC
+          - target: mipsel
+            triple: mipsel-linux-gnu
+            opts: TARGET=MIPS1004K
+          - target: alpha
+            triple: alpha-linux-gnu
+            opts: TARGET=EV4
+
+    steps:
+      - name: Checkout repository
+        uses: actions/checkout@v3
+
+      - name: Install Dependencies
+        run: |
+          sudo apt-get install -y ccache gcc-${{ matrix.triple }} gfortran-${{ matrix.triple }} libgomp1-${{ matrix.target }}-cross
+
+      - name: Compilation cache
+        uses: actions/cache@v3
+        with:
+          path: ~/.ccache
+          key: ccache-${{ runner.os }}-${{ matrix.target }}-${{ github.ref }}-${{ github.sha }}
+          restore-keys: |
+            ccache-${{ runner.os }}-${{ matrix.target }}-${{ github.ref }}
+            ccache-${{ runner.os }}-${{ matrix.target }}
+
+      - name: Configure ccache
+        run: |
+          # Limit the maximum size and switch on compression to avoid exceeding the total disk or cache quota (5 GB).
+          test -d ~/.ccache || mkdir -p ~/.ccache
+          echo "max_size = 300M" > ~/.ccache/ccache.conf
+          echo "compression = true" >> ~/.ccache/ccache.conf
+          ccache -s
+
+
+      - name: Build OpenBLAS
+        run: |
+          make -j$(nproc) HOSTCC="ccache gcc" CC="ccache ${{ matrix.triple }}-gcc" FC="ccache ${{ matrix.triple }}-gfortran" ARCH=${{ matrix.target }} ${{ matrix.opts }}