diff --git a/client/Dockerfile b/client/Dockerfile
index a38e7f0..21da070 100644
--- a/client/Dockerfile
+++ b/client/Dockerfile
@@ -1,4 +1,4 @@
-FROM python:3.13.5-slim
+FROM python:3.13.6-slim
 
 ENV DEVPICLIENT_CLIENTDIR=/devpi/client
 RUN mkdir -p $DEVPICLIENT_CLIENTDIR
diff --git a/client/Dockerfile-alpine b/client/Dockerfile-alpine
index a080f01..a3c0637 100644
--- a/client/Dockerfile-alpine
+++ b/client/Dockerfile-alpine
@@ -1,4 +1,4 @@
-FROM python:3.13.5-alpine
+FROM python:3.13.6-alpine
 
 ENV DEVPICLIENT_CLIENTDIR=/devpi/client
 RUN mkdir -p $DEVPICLIENT_CLIENTDIR