diff --git a/.ci_extras/pin-crate-vers-msrv.sh b/.ci_extras/pin-crate-vers-msrv.sh
index f115f405..ec67b6cd 100755
--- a/.ci_extras/pin-crate-vers-msrv.sh
+++ b/.ci_extras/pin-crate-vers-msrv.sh
@@ -4,3 +4,4 @@ set -eux
 
 # Pin some dependencies to specific versions for the MSRV.
 cargo update -p tempfile --precise 3.6.0
+cargo update -p tokio --precise 1.29.1