diff --git a/.github/workflows/ccpp.yml b/.github/workflows/ccpp.yml
index 88add093759..f9950f5f0f3 100644
--- a/.github/workflows/ccpp.yml
+++ b/.github/workflows/ccpp.yml
@@ -89,6 +89,7 @@ jobs:
       - name: Install dependencies
         run: |
           sudo apt-get update
+          sudo apt-get install libffi-dev
           sudo apt-get install catch2 cmake g++ libboost-dev libboost-timer-dev libhdf5-mpi-dev libparmetis-dev libpugixml-dev libspdlog-dev mpi-default-dev ninja-build pkg-config
       - name: Set up Python
         uses: actions/setup-python@v5
@@ -214,6 +215,8 @@ jobs:
 
       - name: Build Python interface
         run: |
+          apt-get -y update
+          apt-get -y install libffi-dev
           pip install --check-build-dependencies --no-build-isolation --config-settings=cmake.build-type="Debug" 'python/[test]'
           python -c "from mpi4py import MPI; import dolfinx; assert dolfinx.has_adios2; assert dolfinx.has_kahip; assert not dolfinx.has_parmetis; assert dolfinx.has_petsc; assert dolfinx.has_petsc4py; assert dolfinx.has_ptscotch; assert dolfinx.has_slepc; assert dolfinx.has_complex_ufcx_kernels"
 
@@ -268,6 +271,8 @@ jobs:
 
       - name: Build Python interface
         run: |
+          apt-get -y update
+          apt-get -y install libffi-dev
           pip install -r python/build-requirements.txt
           pip install --check-build-dependencies --no-build-isolation --config-settings=cmake.build-type="Debug" 'python/[docs]'
 
diff --git a/.github/workflows/macos.yml b/.github/workflows/macos.yml
index 6ff1ceda5d2..5488e0c5ef8 100644
--- a/.github/workflows/macos.yml
+++ b/.github/workflows/macos.yml
@@ -30,6 +30,7 @@ jobs:
 
       - name: Install Homebrew dependencies
         run: |
+          brew install libffi
           brew install adios2 boost cmake hdf5-mpi make ninja open-mpi pkg-config pugixml spdlog # FEniCS
           brew install bison flex gfortran # PETSc
 
diff --git a/.github/workflows/oneapi.yml b/.github/workflows/oneapi.yml
index 09b96b25359..69617691883 100644
--- a/.github/workflows/oneapi.yml
+++ b/.github/workflows/oneapi.yml
@@ -38,6 +38,7 @@ jobs:
       - name: Install compiler dependencies
         run: |
           apt-get -y update
+          apt-get -y install libffi-dev
           apt-get -y install binutils libstdc++-14-dev
 
       - uses: actions/checkout@v4
@@ -97,7 +98,8 @@ jobs:
           ctest -R demo -R mpi_2
 
       - name: Build DOLFINx Python interface
-        run: pip -v install --check-build-dependencies --no-build-isolation --config-settings=cmake.build-type="Developer" python/
+        run: |
+          pip -v install --check-build-dependencies --no-build-isolation --config-settings=cmake.build-type="Developer" python/
       - name: Run DOLFINx demos (Python, serial)
         run: python -m pytest -v -n=2 -m serial --durations=10 python/demo/test.py
       - name: Run DOLFINx demos (Python, MPI (np=2))
diff --git a/.github/workflows/redhat.yml b/.github/workflows/redhat.yml
index 76aaadca04e..d64337b1788 100644
--- a/.github/workflows/redhat.yml
+++ b/.github/workflows/redhat.yml
@@ -30,6 +30,8 @@ jobs:
 
       - name: Install FEniCS Python components
         run: |
+          yum -y update
+          yum install -y libffi-devel
           python3 -m pip install git+https://github.com/FEniCS/ufl.git
           python3 -m pip install git+https://github.com/FEniCS/basix.git
           python3 -m pip install git+https://github.com/FEniCS/ffcx.git
diff --git a/python/pyproject.toml b/python/pyproject.toml
index a2a4eddcf62..5da8411f92e 100644
--- a/python/pyproject.toml
+++ b/python/pyproject.toml
@@ -21,7 +21,7 @@ authors = [
 ]
 dependencies = [
       "numpy>=1.21",
-      "cffi<1.17",                           # See https://github.com/FEniCS/dolfinx/issues/3340
+      "cffi@git+https://github.com/python-cffi/cffi@main",
       "mpi4py",
       "fenics-basix>=0.10.0.dev0,<0.11.0",
       "fenics-ffcx>=0.10.0.dev0,<0.11.0",