diff --git a/README.rst b/README.rst
index 203c840a..c3ba9471 100644
--- a/README.rst
+++ b/README.rst
@@ -165,7 +165,7 @@ default ``sys.abiflags`` became an empty string: the ``m`` flag for pymalloc
 became useless (builds with and without pymalloc are ABI compatible) and so has
 been removed. (e.g. ``/opt/python/cp38-cp38``)
 
-Note that PyPy is not available on ppc64le & s390x.
+Note that PyPy is not available on ppc64le.
 
 Building Docker images
 ----------------------
diff --git a/docker/build_scripts/install-pypy.sh b/docker/build_scripts/install-pypy.sh
index ddc0c0ac..6bfa9acc 100755
--- a/docker/build_scripts/install-pypy.sh
+++ b/docker/build_scripts/install-pypy.sh
@@ -28,6 +28,7 @@ case ${AUDITWHEEL_ARCH} in
 	x86_64) PYPY_ARCH=linux64;;
 	i686) PYPY_ARCH=linux32;;
 	aarch64) PYPY_ARCH=aarch64;;
+	s390x) PYPY_ARCH=s390x;;
 	*) echo "No PyPy for ${AUDITWHEEL_ARCH}"; exit 0;;
 esac
 
diff --git a/docker/build_scripts/pypy.sha256 b/docker/build_scripts/pypy.sha256
index 3b3cb3fb..d1976904 100644
--- a/docker/build_scripts/pypy.sha256
+++ b/docker/build_scripts/pypy.sha256
@@ -1,3 +1,4 @@
 85d83093b3ef5b863f641bc4073d057cc98bb821e16aa9361a5ff4898e70e8ee  pypy3.7-v7.3.5-aarch64.tar.bz2
 3dd8b565203d372829e53945c599296fa961895130342ea13791b17c84ed06c4  pypy3.7-v7.3.5-linux32.tar.bz2
 9000db3e87b54638e55177e68cbeb30a30fe5d17b6be48a9eb43d65b3ebcfc26  pypy3.7-v7.3.5-linux64.tar.bz2
+dffdf5d73613be2c6809dc1a3cf3ee6ac2f3af015180910247ff24270b532ed5  pypy3.7-v7.3.5-s390x.tar.bz2