diff --git a/requirements/CI-tests-conda/requirements.txt b/requirements/CI-tests-conda/requirements.txt
index fe5d4669..79594e1b 100644
--- a/requirements/CI-tests-conda/requirements.txt
+++ b/requirements/CI-tests-conda/requirements.txt
@@ -2,4 +2,4 @@ lmdb==0.9.24
 msprime==1.0.1
 python-lmdb==0.96
 zarr==2.8.3
-h5py==3.2.1
+h5py==3.3.0