diff --git a/.github/workflows/cont_integration.yml b/.github/workflows/cont_integration.yml
index 63b9a0b734..8d194935d7 100644
--- a/.github/workflows/cont_integration.yml
+++ b/.github/workflows/cont_integration.yml
@@ -38,7 +38,9 @@ jobs:
           cargo update -p flate2:1.0.27 --precise "1.0.26"
           cargo update -p reqwest --precise "0.11.18"
           cargo update -p h2 --precise "0.3.20"
-          cargo update -p rustls-webpki --precise "0.100.1"
+          cargo update -p rustls-webpki:0.100.2 --precise "0.100.1"
+          cargo update -p rustls-webpki:0.101.4 --precise "0.101.1"
+          cargo update -p zip:0.6.6 --precise "0.6.2"
       - name: Build
         run: cargo build ${{ matrix.features }}
       - name: Test
diff --git a/README.md b/README.md
index b54a89d006..3b952f8032 100644
--- a/README.md
+++ b/README.md
@@ -81,8 +81,12 @@ cargo update -p flate2:1.0.27 --precise "1.0.26"
 cargo update -p reqwest --precise "0.11.18"
 # h2 0.3.21 has MSRV 1.63.0+
 cargo update -p h2 --precise "0.3.20"
-# rustls-webpki has MSRV 1.60.0+
-cargo update -p rustls-webpki --precise "0.100.1"
+# rustls-webpki 0.100.2 has MSRV 1.60.0+
+cargo update -p rustls-webpki:0.100.2 --precise "0.100.1"
+# rustls-webpki 0.101.2 has MSRV 1.60.0+
+cargo update -p rustls-webpki:0.101.4 --precise "0.101.1"
+# zip 0.6.3 has MSRV 1.59.0+
+cargo update -p zip:0.6.6 --precise "0.6.2"
 ```
 
 ## License