diff --git a/.github/actions/install/action.yml b/.github/actions/install/action.yml
index 40bcfee39b..54c1411d7f 100644
--- a/.github/actions/install/action.yml
+++ b/.github/actions/install/action.yml
@@ -135,10 +135,6 @@ runs:
         : # Empty the pip cache to ensure that everything is compiled from scratch
         pip cache purge
 
-        # Fix for petsc4py build to be removed after #5372 is resolved.
-        echo 'Cython<3.3.0' > constraints.txt
-        export PIP_CONSTRAINT=constraints.txt
-
         if [ ${{ inputs.base_ref }} = 'main' ]; then
           : # Install build dependencies
           pip install "$PETSC_DIR"/src/binding/petsc4py
@@ -154,7 +150,6 @@ runs:
           EXTRA_PIP_FLAGS='--no-build-isolation'
         elif [ ${{ inputs.base_ref }} = 'release' ]; then
           EXTRA_PIP_FLAGS=''
-          export PIP_BUILD_CONSTRAINT=constraints.txt
         else
           echo "Unrecognised 'base_ref' input: '${{ inputs.base_ref }}"
           exit 1
diff --git a/docker/Dockerfile.vanilla b/docker/Dockerfile.vanilla
index 926b956217..ec9a9c16c9 100644
--- a/docker/Dockerfile.vanilla
+++ b/docker/Dockerfile.vanilla
@@ -143,10 +143,6 @@ ENV CFLAGS="-O3 -mtune=generic" CPPFLAGS="-O3 -mtune=generic"
 #     The order these are installed is important, e.g. FIAT must be installed
 #     before UFL otherwise `pip install fiat` will reinstall pypi ufl.
 
-# Fix for petsc4py build to be removed after #5372 is resolved.
-RUN echo 'Cython<3.3.0' > /opt/constraints.txt
-ENV PIP_CONSTRAINT=/opt/constraints.txt
-
 RUN git clone --branch ${BRANCH} \
       https://github.com/firedrakeproject/firedrake.git /opt/firedrake \
     && pip cache purge || exit; \
diff --git a/docs/source/install.rst b/docs/source/install.rst
index 5abe20065f..6f322c27c7 100644
--- a/docs/source/install.rst
+++ b/docs/source/install.rst
@@ -239,12 +239,6 @@ install Firedrake. To do this perform the following steps:
       so that it can be detected by mpi4py. See `here <https://mpi4py.readthedocs.io/en/stable/install.html#linux>`__
       for more information.
 
-#. Set ``PIP_CONSTRAINT`` to work around
-   `an issue with Cython <https://gitlab.com/petsc/petsc/-/work_items/1929>`__::
-
-      $ echo 'Cython<3.3.0' > constraints.txt
-      $ export PIP_CONSTRAINT=$PWD/constraints.txt
-
 #. Install Firedrake::
 
       $ pip install --no-binary h5py 'firedrake[check]'
diff --git a/pyproject.toml b/pyproject.toml
index 728683a7e2..705131d327 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -29,7 +29,7 @@ dependencies = [
   "loopy>2024.1",
   "numpy",
   "packaging",
-  "petsc4py==3.25.0",
+  "petsc4py==3.25.5",
   "petsctools>=2026.0",
   "pkgconfig",
   "progress",
@@ -158,7 +158,7 @@ requires = [
   "mpi4py>3; python_version >= '3.13'",
   "mpi4py; python_version < '3.13'",
   "numpy",
-  "petsc4py==3.25.0",
+  "petsc4py==3.25.5",
   "petsctools",
   "pkgconfig",
   "pybind11",
diff --git a/scripts/firedrake-configure b/scripts/firedrake-configure
index b8ef8c4c79..78490d4bbc 100755
--- a/scripts/firedrake-configure
+++ b/scripts/firedrake-configure
@@ -58,7 +58,7 @@ from collections.abc import Mapping, Sequence
 
 # Attributes that we expect to change occasionally
 
-SUPPORTED_PETSC_VERSION = "v3.25.0"
+SUPPORTED_PETSC_VERSION = "v3.25.5"
 
 
 def main():