It took me a while to figure this out. However, after reading the manual CAREFULLY and playing a little, I got it so that it works the way I knew it should have been.
You must include the jenkins FitNesse plug-in twice in the job configuration:
- The first time you need to run tests
- Second time collecting results
Test run:
Configure the first call to the plug-in in the “Add Step After Build” section, with information on the FitNesse server and the tests to be performed. I put the test results in the workspace and clear the workspace between assemblies.

Results collection:
This is the step where the results are evaluated and the success or failure of the assignment is verified. It also puts a link to the tests in the job review.
Configure the second step in the "Add an action after assembly" section and include the test result (or results - ant type wild carding is allowed) that you want to evaluate:

Now, when you start the build, FitNesse results are evaluated and the job is passed or crashes based on FitNesse results in addition to the other test steps you have.
You can see the results in the assembly summary:

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