diff --git a/docker/Dockerfile b/docker/Dockerfile
index 5b077b42..548f2280 100644
--- a/docker/Dockerfile
+++ b/docker/Dockerfile
@@ -142,11 +142,11 @@ RUN manylinux-entrypoint /build_scripts/build-cpython.sh 3.12.3
 
 FROM build_cpython AS build_cpython313
 COPY build_scripts/cpython-pubkey-312-313.txt /build_scripts/cpython-pubkeys.txt
-RUN manylinux-entrypoint /build_scripts/build-cpython.sh 3.13.0a2
+RUN manylinux-entrypoint /build_scripts/build-cpython.sh 3.13.0a6
 
 FROM build_cpython AS build_cpython313_nogil
 COPY build_scripts/cpython-pubkey-312-313.txt /build_scripts/cpython-pubkeys.txt
-RUN manylinux-entrypoint /build_scripts/build-cpython.sh 3.13.0a2 nogil
+RUN manylinux-entrypoint /build_scripts/build-cpython.sh 3.13.0a6 nogil
 
 FROM build_cpython AS all_cpython
 COPY build_scripts/finalize-python.sh /build_scripts/