diff --git a/tools/update-container-image-versions.sh b/tools/update-container-image-versions.sh
index 75b711e..4ba5320 100755
--- a/tools/update-container-image-versions.sh
+++ b/tools/update-container-image-versions.sh
@@ -19,17 +19,17 @@ set -eu -o pipefail
 
 get_image_version() {
     repo="$1"; shift
-    grep -E "github\.com/buildbarn/${repo}" go.mod \
+    grep -E "github\.com/buildbarn/$repo" go.mod \
         | sed 's#.* v0.0.0-\([0-9]\{8\}\)\([0-9]\{6\}\)-\([0-9a-f]\{7\}\)[0-9a-f]\+#\1T\2Z-\3#'
 }
 
 get_full_git_commit_hash() {
     repo="$1"; shift
     # Reuse the same sed expression as in get_image_version.
-    short_commit_hash=$(grep -E "github\.com/buildbarn/${repo}" go.mod \
+    short_commit_hash=$(grep -E "github\.com/buildbarn/$repo" go.mod \
         | sed 's#.* v0.0.0-\([0-9]\{8\}\)\([0-9]\{6\}\)-\([0-9a-f]\+\)#\3#')
     # Let GitHub resolve the full commit hash.
-    curl "https://github.com/buildbarn/$repo/commit/$short_commit_hash" \
+    curl -s "https://github.com/buildbarn/$repo/commit/$short_commit_hash" \
         | grep '<meta property="og:url" content="' \
         | sed 's#.*<meta property="og:url" content="/buildbarn/'"$repo"'/commit/\([0-9a-f]*\)" />.*#\1#'
 }
@@ -41,15 +41,16 @@ update_image_version() {
     image_version=$(get_image_version "$repo")
     timestamp=$(echo "$image_version" | sed 's#\([0-9]\{4\}\)\([0-9]\{2\}\)\([0-9]\{2\}\)T\([0-9]\{2\}\)\([0-9]\{2\}\)\([0-9]\{2\}\)Z.*#\1-\2-\3 \4:\5:\6#')
     commit_hash=$(get_full_git_commit_hash "$repo")
+    checks_url="https://github.com/buildbarn/$repo/commit/$commit_hash/checks"
 
     # Replace image version.
-    sed -i "s#\(ghcr\.io/buildbarn/${image_name}:\)[0-9tzTZ]*-[0-9a-f]*#\1${image_version}#g" \
+    sed -i "s#\(ghcr\.io/buildbarn/$image_name:\)[0-9tzTZ]*-[0-9a-f]*#\1$image_version#g" \
         README.md docker-compose/docker-compose.yml kubernetes/*.yaml
 
     # Replace timestamp and CI Build link.
     sed -i \
-        -e "s#^\(| ${image_name} .*| \)\([^|]* UTC |\)#\1${timestamp} UTC |#" \
-        -e "s#| [^|]*/buildbarn/${repo}/commit/[0-9a-f]*/checks#| [\`${commit_hash}\`](https://github.com/buildbarn/${repo}/commit/${commit_hash}/checks#" \
+        -e "s#^\(| $image_name .*| \)\([^|]* UTC |\)#\1$timestamp UTC |#" \
+        -e "s#| [^|]*/buildbarn/$repo/commit/[0-9a-f]*/checks#| [\`$commit_hash\`]($checks_url#" \
         README.md
 }