diff --git a/make-manylinux b/make-manylinux
index 67daadfc..bc5bc222 100755
--- a/make-manylinux
+++ b/make-manylinux
@@ -13,13 +13,15 @@ export TRAVIS=true
 # know. The env var works for pip 20.
 export PIP_NO_PYTHON_VERSION_WARNING=1
 export PIP_NO_WARN_SCRIPT_LOCATION=1
+export GREENLET_MAPPED=/greenlet
 export GREENLET_CHECKOUT=/home/runner/work/greenlet/greenlet
 
-ls -la /greenlet ||:
-ls -la $(dirname "$GREENLET_CHECKOUT") ||:
+ls -la $GREENLET_MAPPED ||:
 ls -la $GREENLET_CHECKOUT ||:
 
-if [ -d $GREENLET_CHECKOUT -a -d /opt/python ]; then
+if [ -d $GREENLET_MAPPED -a -d /opt/python ]; then
+    echo "Running inside docker"
+
     # Running inside docker
     export GREENLET_MANYLINUX=1
     # Build for speed (we're going to test this anyway) and without assertions.
@@ -30,10 +32,11 @@ if [ -d $GREENLET_CHECKOUT -a -d /opt/python ]; then
     # Build in an isolated directory
     mkdir /tmp/build
     cd /tmp/build
-    git clone $GREENLET_CHECKOUT greenlet
+    git config --global --add safe.directory $GREENLET_MAPPED/.git
+    git clone $GREENLET_MAPPED greenlet
     cd greenlet
 
-    mkdir -p $GREENLET_CHECKOUT/wheelhouse
+    mkdir -p $GREENLET_MAPPED/wheelhouse
     OPATH="$PATH"
     which auditwheel
     for variant in `ls -d /opt/python/cp{37,38,39,310,311,312}*`; do
@@ -46,7 +49,7 @@ if [ -d $GREENLET_CHECKOUT -a -d /opt/python ]; then
         python -mpip install -U .[test]
         python -m unittest discover -v greenlet.tests
         PATH="$OPATH" auditwheel repair dist/greenlet*.whl
-        cp wheelhouse/greenlet*.whl $GREENLET_CHECKOUT/wheelhouse
+        cp wheelhouse/greenlet*.whl $GREENLET_MAPPED/wheelhouse
 
         rm -rf build
         rm -f dist/greenlet*.whl
@@ -58,5 +61,5 @@ fi
 
 # Mount the current directory as /greenlet
 # Can't use -i on Travis with arm64, "input device not a tty"
-docker run --rm -v "$(pwd):/greenlet"  ${DOCKER_IMAGE:-quay.io/pypa/manylinux2014_x86_64} $GREENLET_CHECKOUT/$(basename $0)
+docker run --rm -v "$(pwd):$GREENLET_MAPPED"  ${DOCKER_IMAGE:-quay.io/pypa/manylinux2014_x86_64} "$GREENLET_MAPPED/$(basename $0)"
 ls -l wheelhouse