diff --git a/.circleci/config.yml b/.circleci/config.yml
index d4b68b468f..7b49ee7f78 100644
--- a/.circleci/config.yml
+++ b/.circleci/config.yml
@@ -8,11 +8,15 @@ commands:
       - run:
           name: Install dependencies and set path
           command: |
+            wget --no-check-certificate -O - https://apt.llvm.org/llvm-snapshot.gpg.key | sudo apt-key add -
+            sudo add-apt-repository -y 'deb http://apt.llvm.org/bionic/   llvm-toolchain-bionic-10  main'
             sudo apt-get update
-            sudo apt-get install -y ninja-build libcunit1-dev valgrind clang doxygen python3-pip
+            # Hack as libffi.so.6 needed for llvm10
+            sudo ln -s /usr/path/to/libffi.so.7 /usr/lib/path/to/libffi.so.6
+            sudo apt-get install -y ninja-build libcunit1-dev valgrind clang doxygen python3-pip llvm-10
             # Install meson to the system packages so we can run it as root
+            pip install --upgrade pip wheel
             sudo pip install meson
-            pip install numpy==1.18.5
             pip install --user -r python/requirements/CI-complete/requirements.txt
             # Remove tskit installed by msprime
             pip uninstall tskit -y
@@ -153,7 +157,7 @@ commands:
 jobs:
   build:
     docker:
-      - image: cimg/python:3.7
+      - image: cimg/python:3.10
     working_directory: /home/circleci/tskit
     steps:
       - checkout
@@ -162,10 +166,10 @@ jobs:
           # It's sometimes necessary to nuke the cache, and the simplest
           # way to do it is to change the key. We can increment this
           # version number when we want to do this.
-          key: tskit-{{ .Branch }}-v6
+          key: tskit-{{ .Branch }}-v8
       - setup
       - save_cache:
-          key: tskit-{{ .Branch }}-v6
+          key: tskit-{{ .Branch }}-v8
           paths:
             - "/home/circleci/.local"
       - compile_and_test
@@ -194,16 +198,16 @@ jobs:
 
   build-32:
     docker:
-      - image: tskitimages/testing-32bit:2.0
+      - image: tskitimages/testing-32bit:3.0
     working_directory: /home/circleci/tskit
     steps:
       - checkout
       - run: sudo chown -R circleci:circleci *
       - restore_cache:
-          key: tskit-32-{{ .Branch }}-v7
+          key: tskit-32-{{ .Branch }}-v8
       - setup
       - save_cache:
-          key: tskit-32-{{ .Branch }}-v7
+          key: tskit-32-{{ .Branch }}-v8
           paths:
             - "/home/circleci/.local"
       # We need to install curl for the codecov upload.
diff --git a/.circleci/images/32bit/Dockerfile b/.circleci/images/32bit/Dockerfile
index f894020e09..f00fc9a99c 100644
--- a/.circleci/images/32bit/Dockerfile
+++ b/.circleci/images/32bit/Dockerfile
@@ -1,4 +1,4 @@
-FROM i386/python:3.7-slim-bullseye
+FROM i386/python:3.10-slim-bullseye
 
 RUN apt-get update && apt-get install -y sudo rustc cargo libhdf5-dev libgsl-dev pkg-config libssl-dev
 RUN adduser --disabled-password --gecos "" circleci
diff --git a/python/requirements/CI-complete/requirements.txt b/python/requirements/CI-complete/requirements.txt
index a582f42387..a30e1571b6 100644
--- a/python/requirements/CI-complete/requirements.txt
+++ b/python/requirements/CI-complete/requirements.txt
@@ -3,15 +3,15 @@ black==21.12b0
 coverage==6.5.0
 dendropy==4.5.2
 flake8==5.0.4
-h5py==3.7.0
+h5py==3.9.0
 jsonschema==4.16.0
 kastore==0.3.2
 lshmm==0.0.4
 msgpack==1.0.4
 msprime==1.2.0
-networkx==2.6.3 # Held at 2.6.3 for Python 3.7 compatibility
+networkx==3.1
 newick==1.3.2
-numpy==1.21.6 # Held at 1.21.6 for Python 3.7 compatibility
+numpy==1.25.2
 portion==2.3.0
 pyparsing==3.0.9
 pysam==0.19.1