diff --git a/README.rst b/README.rst
index 1552422..66ec746 100644
--- a/README.rst
+++ b/README.rst
@@ -14,9 +14,9 @@ the only supported platform is ``x86_64``.
 At the moment of writing, this image provide the following versions of
 PyPy:
 
-- PyPy2.7 7.3.4
+- PyPy2.7 7.3.5
 
-- PyPy3.7 7.3.4
+- PyPy3.7 7.3.5
 
 - PyPy3.6 7.3.3
 
@@ -43,21 +43,21 @@ also symlinked to ``/opt/python``. Moreover, each installation of PyPy
 contains also a ``python`` symlink.
 
 All the following commands are equivalent and run the PyPy 2.7, version
-7.3.4. You can use whatever fits best in your build system:
+7.3.5. You can use whatever fits best in your build system:
 
-- ``/opt/pypy/pypy2.7-7.3.4/bin/pypy``
+- ``/opt/pypy/pypy2.7-7.3.5/bin/pypy``
 
-- ``/opt/pypy/pypy2.7-7.3.4/bin/python``
+- ``/opt/pypy/pypy2.7-7.3.5/bin/python``
 
 - ``/opt/python/pp27-pypy_73/bin/pypy``
 
 - ``/opt/python/pp27-pypy_73/bin/python``
 
-Similarly, these are the commands to run PyPy 3.7, version 7.3.4:
+Similarly, these are the commands to run PyPy 3.7, version 7.3.5:
 
-- ``/opt/pypy/pypy3.7-7.3.4/bin/pypy``
+- ``/opt/pypy/pypy3.7-7.3.5/bin/pypy``
 
-- ``/opt/pypy/pypy3.7-7.3.4/bin/python``
+- ``/opt/pypy/pypy3.7-7.3.5/bin/python``
 
 - ``/opt/python/pp37-pypy37_pp73/bin/pypy``
 
diff --git a/docker/build_scripts_pypy/prefetch_pypy.sh b/docker/build_scripts_pypy/prefetch_pypy.sh
index f2940ab..2296b38 100755
--- a/docker/build_scripts_pypy/prefetch_pypy.sh
+++ b/docker/build_scripts_pypy/prefetch_pypy.sh
@@ -20,6 +20,6 @@ fetch_source pypy3.6-7.2.0-linux_x86_64-portable.tar.bz2 "$SQUEAKY_GITHUB_URL/py
 # pypy 7.3.3 (3.6 only)
 fetch_source pypy3.6-v7.3.3-linux64.tar.bz2 "$URL"
 
-# pypy 7.3.4
-fetch_source pypy2.7-v7.3.4-linux64.tar.bz2 "$URL"
-fetch_source pypy3.7-v7.3.4-linux64.tar.bz2 "$URL"
+# pypy 7.3.5
+fetch_source pypy2.7-v7.3.5-linux64.tar.bz2 "$URL"
+fetch_source pypy3.7-v7.3.5-linux64.tar.bz2 "$URL"