diff --git a/Jenkinsfile b/Jenkinsfile
index 89951e3ba..bc7c64f02 100644
--- a/Jenkinsfile
+++ b/Jenkinsfile
@@ -14,25 +14,39 @@ pipeline {
          }
       }
       environment {
-    HOME = "$WORKSPACE/build"
+    HOME = "$WORKSPACE"
     PYBIN = "/opt/python/cp38-cp38/bin"
+    LIBRARY_PATH = "$WORKSPACE/build"
+    LD_LIBRARY_PATH = "$WORKSPACE/build"
       }
       steps {
     sh '''#!/bin/bash -ex
       nvidia-smi
     '''
     sh '''#!/bin/bash -ex
-      cp -r /io/build/test/cuda cuda_tests
-      cd cuda_tests
+      echo $HOME
+    '''
+    sh '''#!/bin/bash -ex
+        cuda_arch=$(nvidia-smi --query-gpu=compute_cap --format=csv,noheader|head -n 1| sed "s/\\.//")
+        cmake -B build . -DFINUFFT_USE_CUDA=ON \
+                         -DFINUFFT_USE_CPU=OFF \
+                         -DFINUFFT_BUILD_TESTS=ON \
+                         -DCMAKE_CUDA_ARCHITECTURES="$cuda_arch" \
+                         -DBUILD_TESTING=ON
+        cd build
+        make -j4
+    '''
+    sh '''#!/bin/bash -ex
+      cd build/test/cuda
       ctest --output-on-failure
     '''
     sh '${PYBIN}/python3 -m venv $HOME'
     sh '''#!/bin/bash -ex
       source $HOME/bin/activate
       python3 -m pip install --upgrade pip
-      LIBRARY_PATH=/io/build python3 -m pip install -e python/cufinufft
+      python3 -m pip install -e python/cufinufft
       python3 -m pip install pytest
-      python3 -m pytest
+      python3 -m pytest python/cufinufft
     '''
       }
     }
diff --git a/tools/cufinufft/build-library.sh b/tools/cufinufft/build-library.sh
new file mode 100755
index 000000000..988096879
--- /dev/null
+++ b/tools/cufinufft/build-library.sh
@@ -0,0 +1,14 @@
+#!/usr/bin/env bash
+set -e -u -x
+
+mkdir -p /io/build
+cd /io/build
+
+cmake -D FINUFFT_USE_CUDA=ON \
+      -D FINUFFT_USE_CPU=OFF \
+      -D FINUFFT_BUILD_TESTS=ON \
+      -D CMAKE_CUDA_ARCHITECTURES="35;50;60;70;75;80" \
+      -D BUILD_TESTING=ON \
+      ..
+
+make -j4
diff --git a/tools/cufinufft/distribution_helper.sh b/tools/cufinufft/distribution_helper.sh
index 901473dad..014d51ecd 100755
--- a/tools/cufinufft/distribution_helper.sh
+++ b/tools/cufinufft/distribution_helper.sh
@@ -10,19 +10,32 @@ dockerhub=janden
 
 echo "# build the wheel"
 docker build \
-    --file ci/docker/cuda${cuda_version}/Dockerfile-x86_64 \
+    --file tools/cufinufft/docker/cuda${cuda_version}/Dockerfile-x86_64 \
     --tag ${dockerhub}/cufinufft-${cufinufft_version}-${manylinux_version} .
 
 
-echo "# Run the container, invoking the build-wheels script to generate the wheels"
-docker run \
+echo "# Create the container and start it"
+docker create \
     --gpus all \
     --interactive \
     --tty \
     --volume $(pwd)/wheelhouse:/io/wheelhouse \
     --env PLAT=${manylinux_version}_x86_64 \
-    ${dockerhub}/cufinufft-${cufinufft_version}-${manylinux_version} \
-    /io/ci/build-wheels.sh
+    --name cufinufft \
+    ${dockerhub}/cufinufft-${cufinufft_version}-${manylinux_version}
+
+docker start cufinufft
+
+echo "# Build the library and install it"
+docker exec cufinufft /io/tools/cufinufft/build-library.sh
+docker exec cufinufft cp /io/build/libcufinufft.so /usr/lib
+
+echo "# Build the wheels"
+docker exec cufinufft /io/tools/cufinufft/build-wheels.sh
+
+echo "# Shut down the container and remove it"
+docker stop cufinufft
+docker rm cufinufft
 
 echo "# Copy the wheels we care about to the dist folder"
 mkdir -p dist
diff --git a/tools/cufinufft/docker/cuda11.0/Dockerfile-x86_64 b/tools/cufinufft/docker/cuda11.0/Dockerfile-x86_64
index 3ac5b8561..4b09fc392 100644
--- a/tools/cufinufft/docker/cuda11.0/Dockerfile-x86_64
+++ b/tools/cufinufft/docker/cuda11.0/Dockerfile-x86_64
@@ -67,41 +67,9 @@ RUN yum install -y \
         devtoolset-9-gcc-c++ && \
     rm -rf /var/cache/yum/*
 
-RUN scl enable devtoolset-9 -- g++ --version
+ENV PATH /opt/rh/devtoolset-9/root/usr/bin:${PATH}
 
 # finufft reqs
 RUN yum install -y \
         cmake && \
     rm -rf /var/cache/yum/*
-
-# Okay, so now we can begin cufinufft
-#
-# Only copy the C++/CUDA code (this way the cache is not invalidated by changes
-# to the Python code or to the docs).
-COPY src /io/src
-COPY fortran /io/fortran
-COPY include /io/include
-COPY test /io/test
-COPY perftest /io/perftest
-COPY examples /io/examples
-COPY cmake /io/cmake
-COPY contrib /io/contrib
-COPY CMakeLists.txt /io/
-
-# Set up cmake and build the code.
-RUN mkdir -p /io/build
-WORKDIR /io/build
-RUN scl enable devtoolset-9 -- cmake -D FINUFFT_USE_CUDA=ON -D FINUFFT_USE_CPU=OFF -D CMAKE_CUDA_ARCHITECTURES="35;50;60;70;75;80" -DBUILD_TESTING=ON -DFINUFFT_BUILD_TESTS=ON ..
-RUN scl enable devtoolset-9 -- make -j4
-
-WORKDIR /io
-
-# And we need to pack it in our LD path
-ENV LD_LIBRARY_PATH /io/build:${LD_LIBRARY_PATH}
-
-# Now copy the rest of the repository in.
-COPY python /io/python
-COPY docs /io/docs
-COPY tools /io/tools
-
-CMD ["/bin/bash"]