Gracefully stopping a build step (plugin) on build abort

I have a plugin in Jenkins that operates a remote server via rest.
How can I send one last request to the server on build abort? Thus, gracefully finishing the work of the plugin?

The only reference to the 'Abort sequence' that I found is this. Which makes me think that the procedure is very rough, and that I can't catch the signal before it terminates the child (my plugin).