diff --git a/projects/tremor/Dockerfile b/projects/tremor/Dockerfile
index 21cda081c..d190c225a 100644
--- a/projects/tremor/Dockerfile
+++ b/projects/tremor/Dockerfile
@@ -16,8 +16,8 @@
 
 FROM gcr.io/oss-fuzz-base/base-builder
 RUN apt-get update && apt-get install -y make autoconf automake libogg-dev libtool pkg-config wget
-RUN git clone https://gitlab.xiph.org/xiph/ogg.git
-RUN git clone https://gitlab.xiph.org/xiph/tremor.git
+RUN git clone --depth 1 https://gitlab.xiph.org/xiph/ogg.git
+RUN git clone --depth 1 https://gitlab.xiph.org/xiph/tremor.git
 RUN svn export https://github.com/mozillasecurity/fuzzdata.git/trunk/samples/vorbis decode_corpus
 WORKDIR tremor
 COPY decode_fuzzer.cc $SRC/tremor/
diff --git a/projects/vorbis/Dockerfile b/projects/vorbis/Dockerfile
index ae9ed5d86..80523ce77 100644
--- a/projects/vorbis/Dockerfile
+++ b/projects/vorbis/Dockerfile
@@ -16,8 +16,8 @@
 
 FROM gcr.io/oss-fuzz-base/base-builder
 RUN apt-get update && apt-get install -y make autoconf automake libtool pkg-config wget
-RUN git clone https://gitlab.xiph.org/xiph/ogg.git
-RUN git clone https://gitlab.xiph.org/xiph/vorbis.git
+RUN git clone --depth 1 https://gitlab.xiph.org/xiph/ogg.git
+RUN git clone --depth 1 https://gitlab.xiph.org/xiph/vorbis.git
 RUN svn export https://github.com/mozillasecurity/fuzzdata.git/trunk/samples/ogg decode_corpus
 RUN svn export --force https://github.com/mozillasecurity/fuzzdata.git/trunk/samples/vorbis decode_corpus
 # TODO: remove `people.xiph.org` lines once upstream build script is updated