diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 1a4de44..af27f7d 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -179,6 +179,7 @@
     : ${ARMC5_BIN_DIR:=/usr/bin}
     : ${ARMC6_BIN_DIR:=/usr/bin}
     : ${ARM_NONE_EABI_GCC_PREFIX:=arm-none-eabi-}
+    : ${ARM_LINUX_GNUEABI_GCC_PREFIX:=arm-linux-gnueabi-}
 
     # if MAKEFLAGS is not set add the -j option to speed up invocations of make
     if [ -z "${MAKEFLAGS+set}" ]; then
@@ -247,6 +248,9 @@
      --arm-none-eabi-gcc-prefix=<string>
                         Prefix for a cross-compiler for arm-none-eabi
                         (default: "${ARM_NONE_EABI_GCC_PREFIX}")
+     --arm-linux-gnueabi-gcc-prefix=<string>
+                        Prefix for a cross-compiler for arm-linux-gnueabi
+                        (default: "${ARM_LINUX_GNUEABI_GCC_PREFIX}")
      --armcc            Run ARM Compiler builds (on by default).
      --except           Exclude the COMPONENTs listed on the command line,
                         instead of running only those.
@@ -378,6 +382,7 @@
     while [ $# -gt 0 ]; do
         case "$1" in
             --arm-none-eabi-gcc-prefix) shift; ARM_NONE_EABI_GCC_PREFIX="$1";;
+            --arm-linux-gnueabi-gcc-prefix) shift; ARM_LINUX_GNUEABI_GCC_PREFIX="$1";;
             --armcc) no_armcc=;;
             --armc5-bin-dir) shift; ARMC5_BIN_DIR="$1";;
             --armc6-bin-dir) shift; ARMC6_BIN_DIR="$1";;
@@ -1546,15 +1551,30 @@
     ${ARM_NONE_EABI_GCC_PREFIX}size library/*.o
 }
 
-component_build_arm_none_eabi_gcc_arm5vte () {
-    msg "build: ${ARM_NONE_EABI_GCC_PREFIX}gcc -march=arm5vte" # ~ 10s
+component_build_arm_linux_gnueabi_gcc_arm5vte () {
+    msg "build: ${ARM_LINUX_GNUEABI_GCC_PREFIX}gcc -march=arm5vte" # ~ 10s
     scripts/config.pl baremetal
     # Build for a target platform that's close to what Debian uses
     # for its "armel" distribution (https://wiki.debian.org/ArmEabiPort).
     # See https://github.com/ARMmbed/mbedtls/pull/2169 and comments.
-    # It would be better to build with arm-linux-gnueabi-gcc but
-    # we don't have that on our CI at this time.
-    make CC="${ARM_NONE_EABI_GCC_PREFIX}gcc" AR="${ARM_NONE_EABI_GCC_PREFIX}ar" CFLAGS='-Werror -Wall -Wextra -march=armv5te -O1' LDFLAGS='-march=armv5te' SHELL='sh -x' lib
+    # Build everything including programs, see for example
+    # https://github.com/ARMmbed/mbedtls/pull/3449#issuecomment-675313720
+    make CC="${ARM_LINUX_GNUEABI_GCC_PREFIX}gcc" AR="${ARM_LINUX_GNUEABI_GCC_PREFIX}ar" CFLAGS='-Werror -Wall -Wextra -march=armv5te -O1' LDFLAGS='-march=armv5te'
+
+    msg "size: ${ARM_LINUX_GNUEABI_GCC_PREFIX}gcc -march=armv5te -O1"
+    ${ARM_LINUX_GNUEABI_GCC_PREFIX}size library/*.o
+}
+support_build_arm_linux_gnueabi_gcc_arm5vte () {
+    type ${ARM_LINUX_GNUEABI_GCC_PREFIX}gcc >/dev/null 2>&1
+}
+
+component_build_arm_none_eabi_gcc_arm5vte () {
+    msg "build: ${ARM_NONE_EABI_GCC_PREFIX}gcc -march=arm5vte" # ~ 10s
+    scripts/config.pl baremetal
+    # This is an imperfect substitute for
+    # component_build_arm_linux_gnueabi_gcc_arm5vte
+    # in case the gcc-arm-linux-gnueabihf toolchain is not available
+    make CC="${ARM_NONE_EABI_GCC_PREFIX}gcc" AR="${ARM_NONE_EABI_GCC_PREFIX}ar" CFLAGS='-std=c99 -Werror -Wall -Wextra -march=armv5te -O1' LDFLAGS='-march=armv5te' SHELL='sh -x' lib
 
     msg "size: ${ARM_NONE_EABI_GCC_PREFIX}gcc -march=armv5te -O1"
     ${ARM_NONE_EABI_GCC_PREFIX}size library/*.o