diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 7a48d9fc..45363bb2 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -24,32 +24,32 @@ jobs:
       fail-fast: false
       matrix:
         include:
-          - name-suffix: "wheel-h5py_2.8.0"
+          - name-suffix: "wheel-h5py_3.0.0"
             os: ubuntu-latest
             python-version: '3.7'
-            OLDEST_DEPENDENCIES: 'h5py==2.8.0'
+            OLDEST_DEPENDENCIES: 'h5py==3.0.0'
 
-          - name-suffix: "sdist-h5py_2.10.0"
+          - name-suffix: "sdist-h5py_3.6.0"
             os: ubuntu-latest
-            python-version: '3.8'
-            OLDEST_DEPENDENCIES: 'h5py==2.10.0 numpy==1.23.5'
+            python-version: '3.10'
+            OLDEST_DEPENDENCIES: 'h5py==3.6.0'
 
           - name-suffix: "wheel-h5py_3.10.0"
             os: ubuntu-latest
             python-version: '3.12'
             OLDEST_DEPENDENCIES: 'h5py==3.10.0' 'numpy<2'
 
-          - name-suffix: "wheel-h5py_2.10.0"
+          - name-suffix: "wheel-h5py_3.0.0"
             os: macos-latest
             python-version: '3.7.16'
-            OLDEST_DEPENDENCIES: 'h5py==2.10.0 numpy<2'
+            OLDEST_DEPENDENCIES: 'h5py==3.0.0 numpy<2'
             env:
               MACOSX_DEPLOYMENT_TARGET: 10.15
 
-          - name-suffix: "wheel-h5py_3.8.0"
+          - name-suffix: "wheel-h5py_3.10.0"
             os: macos-latest
             python-version: '3.10.8'
-            OLDEST_DEPENDENCIES: 'h5py==3.8.0 numpy<2'
+            OLDEST_DEPENDENCIES: 'h5py==3.10.0 numpy<2'
 
     steps:
       - uses: actions/checkout@v4
diff --git a/.github/workflows/release.yml b/.github/workflows/release.yml
index 41cfe012..85b32aba 100644
--- a/.github/workflows/release.yml
+++ b/.github/workflows/release.yml
@@ -118,7 +118,7 @@ jobs:
         python-version: ['3.7', '3.12']
         include:
           - python-version: '3.7'
-            OLDEST_DEPENDENCIES: 'h5py==2.8.0 numpy<2'
+            OLDEST_DEPENDENCIES: 'h5py==3.0.0 numpy<2'
           - python-version: '3.12'
             OLDEST_DEPENDENCIES: 'h5py==3.10.0 numpy<2'
 
diff --git a/appveyor.yml b/appveyor.yml
index d02a9dec..9f920110 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -22,7 +22,7 @@ environment:
         - BUILD_PY_PATH: "C:\\Python37-x64;C:\\Python37-x64\\Scripts"
           TEST_PY_PATH: "C:\\Miniconda37-x64;C:\\Miniconda37-x64\\Library\\mingw-w64\\bin;C:\\Miniconda37-x64\\Library\\usr\\bin;C:\\Miniconda37-x64\\Library\\bin;C:\\Miniconda37-x64\\Scripts;C:\\Miniconda37-x64\\bin;C:\\Miniconda37-x64\\condabin"
           INSTALL_CMD: "conda install -y"
-          H5PY_OLDER_VERSION: "2.8.0"
+          H5PY_OLDER_VERSION: "3.0.0"
 
 
 install: