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 }}
diff --git a/Makefile.prebuild b/Makefile.prebuild
index c59e9049c..5dd7dfa4e 100644
--- a/Makefile.prebuild
+++ b/Makefile.prebuild
@@ -60,9 +60,9 @@ all: getarch_2nd
 	./getarch_2nd  1 >> $(TARGET_CONF)
 
 $(TARGET_CONF): c_check$(SCRIPTSUFFIX) f_check$(SCRIPTSUFFIX) getarch
-	./c_check$(SCRIPTSUFFIX) $(TARGET_MAKE) $(TARGET_CONF) $(CC) $(TARGET_FLAGS) $(CFLAGS)
+	./c_check$(SCRIPTSUFFIX) $(TARGET_MAKE) $(TARGET_CONF) "$(CC)" "$(TARGET_FLAGS) $(CFLAGS)"
 ifneq ($(ONLY_CBLAS), 1)
-	./f_check$(SCRIPTSUFFIX) $(TARGET_MAKE) $(TARGET_CONF) $(FC) $(TARGET_FLAGS)
+	./f_check$(SCRIPTSUFFIX) $(TARGET_MAKE) $(TARGET_CONF) "$(FC)" "$(TARGET_FLAGS)"
 else
 #When we only build CBLAS, we set NOFORTRAN=2
 	echo "NOFORTRAN=2" >> $(TARGET_MAKE)
@@ -77,8 +77,8 @@ endif
 
 
 getarch : getarch.c cpuid.S dummy $(CPUIDEMU)
-	avx512=$$(./c_check$(SCRIPTSUFFIX) - - $(CC) $(TARGET_FLAGS) $(CFLAGS) | grep NO_AVX512); \
-	rv64gv=$$(./c_check$(SCRIPTSUFFIX) - - $(CC) $(TARGET_FLAGS) $(CFLAGS) | grep NO_RV64GV); \
+	avx512=$$(./c_check$(SCRIPTSUFFIX) - - "$(CC)" "$(TARGET_FLAGS) $(CFLAGS)" | grep NO_AVX512); \
+	rv64gv=$$(./c_check$(SCRIPTSUFFIX) - - "$(CC)" "$(TARGET_FLAGS) $(CFLAGS)" | grep NO_RV64GV); \
 	$(HOSTCC) $(HOST_CFLAGS) $(EXFLAGS) $${avx512:+-D$${avx512}} $${rv64gv:+-D$${rv64gv}} -o $(@F) getarch.c cpuid.S $(CPUIDEMU)
 
 getarch_2nd : getarch_2nd.c $(TARGET_CONF) dummy
diff --git a/c_check b/c_check
index 01d4f4a7c..d2bd47524 100755
--- a/c_check
+++ b/c_check
@@ -31,8 +31,8 @@ flags="$*"
 
 cross_suffix=""
 
-if [ "`dirname $compiler_name`" != '.' ]; then
-    cross_suffix="$cross_suffix`dirname $compiler_name`/"
+if [ "`dirname \"$compiler_name\"`" != '.' ]; then
+    cross_suffix="$cross_suffix`dirname \"$compiler_name\"`/"
 fi
 
 bn=`basename $compiler_name`