diff --git a/scripts/cosm/env b/scripts/cosm/env
index d178946eeb..b24084da30 100644
--- a/scripts/cosm/env
+++ b/scripts/cosm/env
@@ -1,5 +1,5 @@
 # Choose from https://hub.docker.com/r/cosmwasm/wasmd-demo/tags
 REPOSITORY="cosmwasm/wasmd-demo"
-VERSION="v0.0.4"
+VERSION="v0.0.5"
 
 CONTAINER_NAME="wasmd"
diff --git a/scripts/cosm/start.sh b/scripts/cosm/start.sh
index 2c0b285ffe..629e9fa55c 100755
--- a/scripts/cosm/start.sh
+++ b/scripts/cosm/start.sh
@@ -54,6 +54,9 @@ echo "rest server running on http://localhost:1317 and logging into $REST_SERVER
 # Give REST server some time to come alive. No idea why this helps. Needed for CI.
 if [ -n "${CI:-}" ]; then
   sleep 0.5
+
+  # Follow the logs in CI's background job
+  tail -f "$WASMD_LOGFILE"
 fi
 
 # Debug rest server start