diff --git a/Makefile b/Makefile
index bd9230dd..e0f7cab6 100644
--- a/Makefile
+++ b/Makefile
@@ -478,7 +478,7 @@ else # ifeq darwin
 ifeq ($(PLATFORM),mingw32)
 
   # Some MinGW installations define CC to cc, but don't actually provide cc,
-  # so explicitly use gcc instead (which is the only option anyway)
+  # so check that CC points to a real binary and use gcc if it doesn't
   ifeq ($(call bin_path, $(CC)),)
     CC=gcc
   endif
@@ -487,6 +487,30 @@ ifeq ($(PLATFORM),mingw32)
     WINDRES=windres
   endif
 
+  ifeq ($(CROSS_COMPILING),1)
+    # If CC is already set to something generic, we probably want to use
+    # something more specific
+    ifneq ($(findstring $(CC),cc gcc),)
+      CC=
+    endif
+
+    # We need to figure out the correct compiler
+    ifeq ($(CC),)
+      ifeq ($(ARCH),x86_64)
+        MINGW_PREFIXES=amd64-mingw32msvc x86_64-w64-mingw32
+      endif
+      ifeq ($(ARCH),x86)
+        MINGW_PREFIXES=i586-mingw32msvc i686-w64-mingw32
+      endif
+
+      CC=$(strip $(foreach MINGW_PREFIX, $(MINGW_PREFIXES), \
+         $(call bin_path, $(MINGW_PREFIX)-gcc)))
+
+      WINDRES=$(strip $(foreach MINGW_PREFIX, $(MINGW_PREFIXES), \
+         $(call bin_path, $(MINGW_PREFIX)-windres)))
+    endif
+  endif
+
   BASE_CFLAGS = -Wall -fno-strict-aliasing -Wimplicit -Wstrict-prototypes \
     -DUSE_ICON
 
diff --git a/README b/README
index fd4dac90..1f4cf49c 100644
--- a/README
+++ b/README
@@ -64,15 +64,11 @@ Installation, for *nix
      point releases.
   2. Run 'make copyfiles'.
 
-It is also possible to cross compile for Windows under *nix using MinGW. A
-script is available to build a cross compilation environment from
-http://www.libsdl.org/extras/win32/cross/build-cross.sh. The gcc/binutils
-version numbers that the script downloads may need to be altered.
-Alternatively, your distribution may have mingw32 packages available. On
-debian/Ubuntu, these are mingw32, mingw32-runtime and mingw32-binutils. Cross
-compiling is simply a case of using './cross-make-mingw.sh' in place of 'make',
-though you may find you need to change the value of the variables in this
-script to match your environment.
+It is also possible to cross compile for Windows under *nix using MinGW. Your
+distribution may have mingw32 packages available. On debian/Ubuntu, you need to
+install 'mingw-w64'. Thereafter cross compiling is simply a case running
+'PLATFORM=mingw32 ARCH=x86 make' in place of 'make'. ARCH may also be set to
+x86_64.
 
 The following variables may be set, either on the command line or in
 Makefile.local:
diff --git a/build-test.sh b/build-test.sh
index d3b7f656..83d463b9 100755
--- a/build-test.sh
+++ b/build-test.sh
@@ -4,19 +4,18 @@ failed=0;
 
 # check if testing mingw
 if [ "$CC" = "i686-w64-mingw32-gcc" ]; then
-	MAKE=./cross-make-mingw.sh
+	export PLATFORM=mingw32
 	haveExternalLibs=0
 else
-	MAKE=make
 	haveExternalLibs=1
 fi
 
 # Default Build
-($MAKE clean release) || failed=1;
+(make clean release) || failed=1;
 
 # Test additional options
 if [ $haveExternalLibs -eq 1 ]; then
-	($MAKE clean release USE_CODEC_VORBIS=1 USE_FREETYPE=1) || failed=1;
+	(make clean release USE_CODEC_VORBIS=1 USE_FREETYPE=1) || failed=1;
 fi
 
 if [ $failed -eq 1 ]; then
diff --git a/cross-make-mingw.sh b/cross-make-mingw.sh
deleted file mode 100755
index f78aa264..00000000
--- a/cross-make-mingw.sh
+++ /dev/null
@@ -1,45 +0,0 @@
-#!/bin/sh
-
-# Note: This works in Linux and cygwin
-
-if [ "$ARCH" = "x86_64" ];
-then
-    CMD_PREFIX="amd64-mingw32msvc x86_64-w64-mingw32"
-else
-    CMD_PREFIX="i586-mingw32msvc i686-w64-mingw32"
-    export ARCH=x86
-fi
-
-if [ "$CC" = "cc" ] || [ "$CC" = "gcc" ];
-then
-    CC=
-fi
-
-if [ "X$CC" = "X" ]; then
-    for check in $CMD_PREFIX; do
-        full_check="${check}-gcc"
-        which "$full_check" > /dev/null 2>&1
-        if [ "$?" = "0" ]; then
-            export CC="$full_check"
-        fi
-    done
-fi
-
-if [ "X$WINDRES" = "X" ]; then
-    for check in $CMD_PREFIX; do
-        full_check="${check}-windres"
-        which "$full_check" > /dev/null 2>&1
-        if [ "$?" = "0" ]; then
-            export WINDRES="$full_check"
-        fi
-    done
-fi
-
-if [ "X$WINDRES" = "X" -o "X$CC" = "X" ]; then
-    echo "Error: Must define or find WINDRES and CC"
-    exit 1
-fi
-
-export PLATFORM=mingw32
-
-exec make $*
diff --git a/jenkins-ci-build.sh b/jenkins-ci-build.sh
index eb09a37a..33c17e95 100755
--- a/jenkins-ci-build.sh
+++ b/jenkins-ci-build.sh
@@ -9,17 +9,8 @@ then
     export USE_FREETYPE=1
 fi
 
-if [ "$PLATFORM" = "mingw32" ];
-then
-	MAKE=./cross-make-mingw.sh
-else
-	MAKE=make
-fi
-
 CORES=`awk '/^processor/ { N++} END { print N }' /proc/cpuinfo`
 
-# Default Build
-($MAKE -j${CORES} clean ${BUILD_TYPE})
-SUCCESS=$?
+make -j${CORES} clean ${BUILD_TYPE}
 
-exit ${SUCCESS}
+exit $?