diff --git a/scripts/concourse/docs_wheels.yml b/scripts/concourse/docs_wheels.yml
index e9875932e..ccfd12949 100644
--- a/scripts/concourse/docs_wheels.yml
+++ b/scripts/concourse/docs_wheels.yml
@@ -280,8 +280,7 @@ jobs:
         args:
         - -exc
         - |
-          sed s/pypy37,pypy38,pypy39,// scripts/run_all.sh >/tmp/run_all.sh
-          bash /tmp/run_all.sh
+          scripts/run_all.sh
 
   # Upload musl x86_64 wheels
   - task: upload-wheels
diff --git a/scripts/run_all.sh b/scripts/run_all.sh
index abf298ecc..a81da9c99 100755
--- a/scripts/run_all.sh
+++ b/scripts/run_all.sh
@@ -33,7 +33,10 @@ mkdir -p $TOXWORKDIR
 # Note that the independent remote_tests_python step does all kinds of
 # live-testing already. 
 unset DCC_NEW_TMP_EMAIL
-tox --workdir "$TOXWORKDIR" -e py37,py38,py39,py310,pypy37,pypy38,pypy39,auditwheels
+
+# Try to build wheels for a range of interpreters, but don't fail if they are not available.
+# E.g. musllinux_1_1 does not have PyPy interpreters as of 2022-07-10
+tox --workdir "$TOXWORKDIR" -e py37,py38,py39,py310,pypy37,pypy38,pypy39,auditwheels --skip-missing-interpreters true
 popd