diff --git a/.github/workflows/ci.yaml b/.github/workflows/ci.yaml
index 3ba89a8b..c051bb9d 100644
--- a/.github/workflows/ci.yaml
+++ b/.github/workflows/ci.yaml
@@ -272,13 +272,14 @@ jobs:
         CIBW_BUILD: ${{ matrix.spec }}
         CIBW_BEFORE_BUILD: |
           set -eux && \
-          curl -L -O https://github.com/libffi/libffi/archive/v3.4.2.tar.gz && \
-          tar zxf v3.4.2.tar.gz && cd libffi-3.4.2 && \
+          curl -L -O https://github.com/libffi/libffi/archive/v3.4.6.tar.gz && \
+          tar zxf v3.4.6.tar.gz && cd libffi-3.4.6 && \
           ((command -v apk && apk add libtool) || true) && \
           ./autogen.sh && \
           ./configure --without-gcc-arch --disable-docs --with-pic --enable-shared=no && \
-          make && \
-          make install
+          make install && \
+          cd .. && \
+          rm -rf libffi-3.4.6
         CIBW_ENVIRONMENT_PASS_LINUX: CFLAGS  # ensure that the build container can see our overridden build config
         CIBW_MANYLINUX_X86_64_IMAGE: ${{ matrix.manylinux_img || '' }}
         CIBW_MANYLINUX_I686_IMAGE: ${{ matrix.manylinux_img || '' }}