--- a/python/sites/mach.txt
+++ b/python/sites/mach.txt
@@ -134,4 +134,4 @@
 # We aren't (yet) able to pin packages in automation, so we have to
 # support down to the oldest locally-installed version (5.4.2).
-pypi-optional:psutil>=5.4.2,<=5.9.4:telemetry will be missing some data
+pypi-optional:psutil>=5.4.2,<=5.10.0:telemetry will be missing some data
-pypi-optional:zstandard>=0.11.1,<=0.19.0:zstd archives will not be possible to extract
+pypi-optional:zstandard>=0.11.1,<=0.24.0:zstd archives will not be possible to extract
