diff --git a/ci/docker/conda-python-dask.dockerfile b/ci/docker/conda-python-dask.dockerfile
index e567fecfd13..cf19c05237f 100644
--- a/ci/docker/conda-python-dask.dockerfile
+++ b/ci/docker/conda-python-dask.dockerfile
@@ -23,3 +23,6 @@ FROM ${repo}:${arch}-conda-python-${python}
 ARG dask=latest
 COPY ci/scripts/install_dask.sh /arrow/ci/scripts/
 RUN /arrow/ci/scripts/install_dask.sh ${dask}
+
+# The Spark tests currently break with pandas >= 1.0
+RUN if [ ${dask} == "latest" ]; then conda install pandas=0.25.3; fi
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