diff --git a/.github/workflows/cont_integration.yml b/.github/workflows/cont_integration.yml
index f02dcb8344..63b9a0b734 100644
--- a/.github/workflows/cont_integration.yml
+++ b/.github/workflows/cont_integration.yml
@@ -32,7 +32,8 @@ jobs:
         run: |
           cargo update -p log --precise "0.4.18"
           cargo update -p tempfile --precise "3.6.0"
-          cargo update -p rustls:0.21.6 --precise "0.21.1"
+          cargo update -p rustls:0.21.7 --precise "0.21.1"
+          cargo update -p rustls:0.20.9 --precise "0.20.8"
           cargo update -p tokio:1.32.0 --precise "1.29.1"
           cargo update -p flate2:1.0.27 --precise "1.0.26"
           cargo update -p reqwest --precise "0.11.18"
diff --git a/README.md b/README.md
index ae230abbde..b54a89d006 100644
--- a/README.md
+++ b/README.md
@@ -64,13 +64,15 @@ This library should compile with any combination of features with Rust 1.57.0.
 
 To build with the MSRV you will need to pin dependencies as follows:
 
-```
+```shell
 # log 0.4.19 has MSRV 1.60.0+
 cargo update -p log --precise "0.4.18"
 # tempfile 3.7.0 has MSRV 1.63.0+
 cargo update -p tempfile --precise "3.6.0"
 # rustls 0.21.2 has MSRV 1.60.0+
-cargo update -p rustls:0.21.6 --precise "0.21.1"
+cargo update -p rustls:0.21.7 --precise "0.21.1"
+# rustls 0.20.9 has MSRV 1.60.0+
+cargo update -p rustls:0.20.9 --precise "0.20.8"
 # tokio 1.30 has MSRV 1.63.0+
 cargo update -p tokio:1.32.0 --precise "1.29.1"
 # flate2 1.0.27 has MSRV 1.63.0+