diff --git a/jenkins/README.md b/jenkins/README.md
index 3fbfdf096..c7b4a92df 100644
--- a/jenkins/README.md
+++ b/jenkins/README.md
@@ -24,3 +24,8 @@ and/or opm-material=<pull request number>
 and/or opm-core=<pull request number>
 and/or dune-cornerpoint=<pull request number>
 and/or opm-output=<pull request number>.
+
+**run-spe.sh**:
+This script will execute the SPE1, SPE3 and SPE9 cases, then compare against
+OPM and Eclipse reference results. It is meant to be executed after either
+of the two build scripts above.
diff --git a/jenkins/run-spe.sh b/jenkins/run-spe.sh
new file mode 100755
index 000000000..85153f60a
--- /dev/null
+++ b/jenkins/run-spe.sh
@@ -0,0 +1,48 @@
+#!/bin/bash
+
+# Build flow binary
+pushd .
+cd serial/build-opm-autodiff
+cmake --build . --target flow
+popd
+
+# Clone opm-data if necessary
+pushd .
+cd deps
+if ! test -d opm-data
+then
+  git clone --depth 1 --single-branch -b master https://github.com/OPM/opm-data
+fi
+cd opm-data
+
+# Run the SPE1/3/9 cases
+cd spe1
+$WORKSPACE/serial/build-opm-autodiff/bin/flow deck_filename=SPE1CASE2.DATA
+test $? -eq 0 || exit 1
+cd ..
+cd spe3
+$WORKSPACE/serial/build-opm-autodiff/bin/flow max_iter=50 deck_filename=SPE3CASE1.DATA
+test $? -eq 0 || exit 1
+cd ..
+cd spe9
+$WORKSPACE/serial/build-opm-autodiff/bin/flow max_iter=50 deck_filename=SPE9_CP.DATA
+test $? -eq 0 || exit 1
+cd ..
+
+# Compare OPM with eclipse reference
+PYTHONPATH=$WORKSPACE/serial/install/lib/python2.7/dist-packages/ python output_comparator/src/compare_eclipse.py spe1/eclipse-simulation/ spe1/ SPE1CASE2 0.01 0.01
+test $? -eq 0 || exit 1
+PYTHONPATH=$WORKSPACE/serial/install/lib/python2.7/dist-packages/ python output_comparator/src/compare_eclipse.py spe3/eclipse-simulation/ spe3/ SPE3CASE1 0.02 0.02
+test $? -eq 0 || exit 1
+PYTHONPATH=$WORKSPACE/serial/install/lib/python2.7/dist-packages/ python output_comparator/src/compare_eclipse.py spe9/eclipse-simulation/ spe9/ SPE9_CP 0.002 0.001
+test $? -eq 0 || exit 1
+
+# Compare OPM with OPM reference
+PYTHONPATH=$WORKSPACE/serial/install/lib/python2.7/dist-packages/ python output_comparator/src/compare_eclipse.py spe1/opm-simulation-reference/ spe1/ SPE1CASE2 0.001 0.001
+test $? -eq 0 || exit 1
+PYTHONPATH=$WORKSPACE/serial/install/lib/python2.7/dist-packages/ python output_comparator/src/compare_eclipse.py spe3/opm-simulation-reference/ spe3/ SPE3CASE1 0.001 0.001
+test $? -eq 0 || exit 1
+PYTHONPATH=$WORKSPACE/serial/install/lib/python2.7/dist-packages/ python output_comparator/src/compare_eclipse.py spe9/opm-simulation-reference/ spe9/ SPE9_CP 0.002 0.007
+test $? -eq 0 || exit 1
+
+popd