diff --git a/.github/scripts/build-linux-wheels.sh b/.github/scripts/build-linux-wheels.sh
index 0992b0c..93e14a1 100755
--- a/.github/scripts/build-linux-wheels.sh
+++ b/.github/scripts/build-linux-wheels.sh
@@ -4,7 +4,7 @@ set -e
 set -x
 
 # Install system packages required by our library
-yum install -y pkg-config libffi libffi-devel
+yum install -y pkgconfig libffi libffi-devel
 
 # Use updated GMP
 curl -O https://ftp.gnu.org/gnu/gmp/gmp-6.1.2.tar.bz2 && tar -xjpf gmp-*.tar.bz2 && cd gmp* && ./configure --build=${BUILD_GMP_CPU}-pc-linux-gnu > /dev/null && make > /dev/null && make check > /dev/null && make install > /dev/null && cd ..
diff --git a/.github/scripts/build.sh b/.github/scripts/build.sh
index 6e6d03d..787a140 100755
--- a/.github/scripts/build.sh
+++ b/.github/scripts/build.sh
@@ -9,8 +9,8 @@ if [[ "$OS_NAME" =~ "ubuntu-" ]]; then
     if [[ "$PYTHON_VERSION" =~ "pypy" ]]; then
         docker run --rm -e PYTHON_VERSION="$PYTHON_VERSION" -e PLAT="manylinux2010_x86_64" -e BUILD_GMP_CPU="amd64" -v $(pwd):/io pypywheels/manylinux2010-pypy_x86_64 /io/.github/scripts/build-linux-wheels.sh
     else
-        docker run --rm -e PYTHON_VERSION="$PYTHON_VERSION" -e PLAT="manylinux1_x86_64" -e BUILD_GMP_CPU="amd64" -v $(pwd):/io quay.io/pypa/manylinux1_x86_64 /io/.github/scripts/build-linux-wheels.sh
-        linux32 docker run --rm -e PYTHON_VERSION="$PYTHON_VERSION" -e PLAT="manylinux1_i686" -e BUILD_GMP_CPU="i686" -v $(pwd):/io quay.io/pypa/manylinux1_i686 /io/.github/scripts/build-linux-wheels.sh
+        docker run --rm -e PYTHON_VERSION="$PYTHON_VERSION" -e PLAT="manylinux2014_x86_64" -e BUILD_GMP_CPU="amd64" -v $(pwd):/io quay.io/pypa/manylinux2014_x86_64 /io/.github/scripts/build-linux-wheels.sh
+        linux32 docker run --rm -e PYTHON_VERSION="$PYTHON_VERSION" -e PLAT="manylinux2014_i686" -e BUILD_GMP_CPU="i686" -v $(pwd):/io quay.io/pypa/manylinux2014_i686 /io/.github/scripts/build-linux-wheels.sh
 
         if [[ "$PYTHON_VERSION" == "$PYTHON_VERSION_BUILD_EXTRA" ]]; then
             # Build the source distribution
diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml
index ea01340..b903089 100644
--- a/.github/workflows/build.yml
+++ b/.github/workflows/build.yml
@@ -71,6 +71,8 @@ jobs:
   build:
     name: "Build ${{ !startsWith(matrix.python-version, 'pypy') && 'Python ' || '' }}${{ startsWith(matrix.python-version, 'pypy') && 'PyPy' || matrix.python-version }} ${{ startsWith(matrix.os, 'ubuntu-') && 'manylinux' || 'on' }} ${{ startsWith(matrix.os, 'ubuntu-') && 'wheels' || 'macOS' }}"
     runs-on: ${{ matrix.os }}
+    needs:
+      - test
     strategy:
       fail-fast: false
       matrix:
diff --git a/HISTORY.rst b/HISTORY.rst
index 4a1a6b3..a8cdbe0 100644
--- a/HISTORY.rst
+++ b/HISTORY.rst
@@ -7,6 +7,7 @@ master
 ^^^^^^
 
 - **Breaking:** Drop support for Python 2
+- **Breaking:** Binary wheels for CPython require version 19.3 or later of ``pip`` to install
 - Build binary wheels for PyPy3.6 7.3.3 & PyPy3.7 7.3.3
 
 14.0.0