diff --git a/3.6/alpine/Dockerfile b/3.6/alpine/Dockerfile
index 705bbc1d..0a8492af 100644
--- a/3.6/alpine/Dockerfile
+++ b/3.6/alpine/Dockerfile
@@ -86,6 +86,9 @@ RUN ln -sf /var/lib/rabbitmq/.erlang.cookie /root/
 
 RUN ln -sf "$RABBITMQ_HOME/plugins" /plugins
 
+COPY docker-healthcheck.sh /usr/local/bin/
+HEALTHCHECK CMD ["docker-healthcheck.sh"]
+
 COPY docker-entrypoint.sh /usr/local/bin/
 ENTRYPOINT ["docker-entrypoint.sh"]
 
diff --git a/3.6/alpine/docker-healthcheck.sh b/3.6/alpine/docker-healthcheck.sh
new file mode 100755
index 00000000..977f3255
--- /dev/null
+++ b/3.6/alpine/docker-healthcheck.sh
@@ -0,0 +1,11 @@
+#!/bin/bash
+set -eo pipefail
+
+host="$(hostname || echo 'localhost')"
+export RABBITMQ_NODENAME="${RABBITMQ_NODENAME:-"rabbit@$host"}"
+
+if rabbitmqctl status; then
+    exit 0
+fi
+
+exit 1