diff --git a/buildspec.yaml b/buildspec.yaml
index b23384f617e95..ff7a48d9fd39e 100644
--- a/buildspec.yaml
+++ b/buildspec.yaml
@@ -12,7 +12,7 @@ phases:
       - /bin/bash ./build.sh
   post_build:
     commands:
-      - "[ -f .BUILD_COMPLETED ] && /bin/bash ./pack.sh"
+      - "[ -f .BUILD_COMPLETED ] && [ -z "${SKIP_PACK:-}" ] && /bin/bash ./pack.sh"
 artifacts:
   files:
     - "**/*"
diff --git a/pack.sh b/pack.sh
index 11736d22b46e9..bf3daa10097c4 100755
--- a/pack.sh
+++ b/pack.sh
@@ -16,7 +16,7 @@ scopes=$(lerna ls 2>/dev/null | grep -v "(private)" | cut -d" " -f1 | xargs -n1
 # Run the "cdk-package" script in all modules. For jsii modules, this invokes jsii-pacmak which generates and builds multi-language
 # outputs. For non-jsii module, it will just run "npm pack" and place the output in dist/npm
 # (which is similar to how pacmak outputs it).
-lerna run ${scopes} --sort --stream package
+lerna run ${scopes} --sort --concurrency=1 --stream package
 
 # Collect dist/ from all modules into the root dist/
 for dir in $(find packages -name dist | grep -v node_modules); do