diff --git a/Dockerfile b/Dockerfile
index 3057341f88..98daeac0a7 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -25,11 +25,11 @@ VOLUME /var/jenkins_home
 # or config file with your custom jenkins Docker image.
 RUN mkdir -p /usr/share/jenkins/ref/init.groovy.d
 
-ENV TINI_VERSION 0.9.0
-ENV TINI_SHA fa23d1e20732501c3bb8eeeca423c89ac80ed452
+ENV TINI_VERSION 0.13.1
+ENV TINI_SHA 0f78709a0e3c80e7c9119fdc32c2bc0f4cfc4cab
 
 # Use tini as subreaper in Docker container to adopt zombie processes 
-RUN curl -fsSL https://github.com/krallin/tini/releases/download/v${TINI_VERSION}/tini-static -o /bin/tini && chmod +x /bin/tini \
+RUN curl -fsSL https://github.com/krallin/tini/releases/download/v${TINI_VERSION}/tini-static-amd64 -o /bin/tini && chmod +x /bin/tini \
   && echo "$TINI_SHA  /bin/tini" | sha1sum -c -
 
 COPY init.groovy /usr/share/jenkins/ref/init.groovy.d/tcp-slave-agent-port.groovy