diff --git a/srcpkgs/python3-cryptography/template b/srcpkgs/python3-cryptography/template
index dafe1e84c0e..495f4a69c95 100644
--- a/srcpkgs/python3-cryptography/template
+++ b/srcpkgs/python3-cryptography/template
@@ -1,11 +1,10 @@
 # Template file for 'python3-cryptography'
 pkgname=python3-cryptography
 version=3.4.8
-revision=1
+revision=2
 wrksrc="${pkgname#python3-}-${version}"
 build_style=python3-module
-build_helper="rust"
-hostmakedepends="python3-setuptools-rust python3-cffi cargo"
+hostmakedepends="python3-setuptools-rust python3-cffi"
 makedepends="python3-devel openssl-devel"
 depends="python3-cffi"
 checkdepends="python3-pytest-subtests python3-pytz python3-iso8601
@@ -18,11 +17,14 @@ changelog="https://raw.githubusercontent.com/pyca/cryptography/master/CHANGELOG.
 distfiles="${PYPI_SITE}/c/cryptography/cryptography-${version}.tar.gz"
 checksum=94cc5ed4ceaefcbe5bf38c8fba6a21fc1d365bb8fb826ea1688e3370b2e24a1c
 
-if [ "$CROSS_BUILD" ]; then
-	makedepends+=" rust-std"
-	export PYO3_CROSS_LIB_DIR="${XBPS_CROSS_BASE}/usr/lib"
-	export PYO3_CROSS_INCLUDE_DIR="${XBPS_CROSS_BASE}/usr/include"
-fi
+# The rust extension is a no-op designed to test build systems and,
+# for the moment, does not work properly with Python 3.10 on cross.
+# Hoepfully upstream tooling will make accommodating Python 3.10 trivial by the
+# time the rust extension actually does something.
+#
+# See, e.g., commit 58bc3876d33bfa5e37a21b5a4b27f016af387a76 to see how the
+# rust extension was built with Python 3.9.
+export CRYPTOGRAPHY_DONT_BUILD_RUST=1
 
 post_install() {
 	vlicense LICENSE