diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index dbd248e2..a91458da 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -20,9 +20,8 @@ jobs:
 
     runs-on: ubuntu-latest
     strategy:
-      max-parallel: 4
       matrix:
-        python-version: ['3.8', '3.9', '3.10', '3.11']
+        python-version: ['3.8', '3.9', '3.10', '3.11', '3.12']
         requires: ['requirements.txt']
         include:
           - python-version: '3.8'
@@ -35,6 +34,7 @@ jobs:
       uses: actions/setup-python@v4
       with:
         python-version: ${{ matrix.python-version }}
+        allow-prereleases: true
     - name: Install
       run: |
         python -m pip install --upgrade pip
diff --git a/.github/workflows/wheels.yml b/.github/workflows/wheels.yml
index 5c64b33b..1838751d 100644
--- a/.github/workflows/wheels.yml
+++ b/.github/workflows/wheels.yml
@@ -61,7 +61,7 @@ jobs:
           - [ubuntu-20.04, musllinux_x86_64]
           - [macos-12, macosx_*]
           - [windows-2019, win_amd64]
-        python: ["cp37", "cp38", "cp39", "cp310", "cp311"]
+        python: ["cp38", "cp39", "cp310", "cp311", "cp312"]
         include:
           # Manylinux builds are cheap, do all in one
           - { buildplat: ["ubuntu-20.04", "manylinux_x86_64"], python: "*" }
@@ -71,8 +71,13 @@ jobs:
         with:
           fetch-depth: 0
 
+      - uses: actions/setup-python@v3
+
+      - name: Update pip/pipx
+        run: pip install --upgrade pip pipx
+
       - name: Build wheel(s)
-        run: pipx run cibuildwheel
+        run: pipx run --spec "cibuildwheel>=2.15" cibuildwheel
         env:
           CIBW_BUILD: ${{ matrix.python }}-${{ matrix.buildplat[1] }}
 
diff --git a/min-requirements.txt b/min-requirements.txt
index 368d4dd4..8397e830 100644
--- a/min-requirements.txt
+++ b/min-requirements.txt
@@ -1,4 +1,6 @@
 # Auto-generated by tools/update_requirements.py
+--only-binary numpy,scipy
+--extra-index-url https://pypi.anaconda.org/scientific-python-nightly-wheels/simple
 matplotlib==3.5
 numpy==1.22
 scipy==1.8
diff --git a/pyproject.toml b/pyproject.toml
index 7bf1cb47..41ff9f00 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -3,11 +3,12 @@ requires = [
   "setuptools",
   "setuptools_scm[toml]>=6.2",
   "cython",
-  # Newer than NEP29-minimum: compile against oldest numpy available
-  "numpy==1.24; python_version >= '3.11'",
-  "numpy==1.22; python_version >= '3.10' and python_version < '3.11'",
-  # NEP29-minimum as of Jan 31, 2023
-  "numpy==1.21; python_version >= '3.7' and python_version < '3.10'",
+  "numpy==1.26b1; python_version >= '3.12rc1'",  # Until 3.12 and 1.26 are released
+  # As of numpy 1.25, you can now build against older APIs.
+  # https://numpy.org/doc/stable/release/1.25.0-notes.html
+  "numpy>=1.25; python_version > '3.8'",
+  # NEP29-minimum as of Aug 17, 2023 (1.25 doesn't support 3.8)
+  "numpy==1.22; python_version == '3.8'",
 ]
 build-backend = "setuptools.build_meta"
 
@@ -17,7 +18,7 @@ dynamic = ["version"]
 description = "Nitime: timeseries analysis for neuroscience data"
 readme = "README.txt"
 license = { file = "LICENSE" }
-requires-python = ">=3.7"
+requires-python = ">=3.8"
 authors = [
     { name = "Nitime developers", email = "neuroimaging@python.org" },
 ]
diff --git a/requirements.txt b/requirements.txt
index 50731b29..48558bbd 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,6 +1,9 @@
 # Auto-generated by tools/update_requirements.py
+--only-binary numpy,scipy
+--extra-index-url https://pypi.anaconda.org/scientific-python-nightly-wheels/simple
 matplotlib>=3.5
-numpy>=1.22
+numpy>=1.26.0b1; python_version > '3.11'
+numpy>=1.22; python_version <= '3.11'
 scipy>=1.8
 networkx>=2.7
 nibabel>=4.0
diff --git a/tools/update_requirements.py b/tools/update_requirements.py
index 5992e9f2..92e9e83e 100755
--- a/tools/update_requirements.py
+++ b/tools/update_requirements.py
@@ -19,12 +19,18 @@
 
 script_name = Path(__file__).relative_to(repo_root)
 
-lines = [f'# Auto-generated by {script_name}', '']
+lines = [
+    f'# Auto-generated by {script_name}',
+    '--only-binary numpy,scipy',
+    '--extra-index-url https://pypi.anaconda.org/scientific-python-nightly-wheels/simple',
+    '',
+]
+start = len(lines) - 1
 
 # Write requirements
-lines[1:-1] = requirements
+lines[start:-1] = requirements
 reqs.write_text('\n'.join(lines))
 
 # Write minimum requirements
-lines[1:-1] = [req.replace('>=', '==').replace('~=', '==') for req in requirements]
+lines[start:-1] = [req.replace('>=', '==').replace('~=', '==') for req in requirements]
 min_reqs.write_text('\n'.join(lines))