no coverage reported for integration-test

In my project, I have both unit tests ("test" phase) and integration tests ("integration-test" phase).
So far I could manage configuring maven-surefire-plugin and maven-surefire-report-plugin to execute both tests correctly and also generate 2 different reports.
Then I have added cobertura-maven-plugin to the reporting in order to get coverage but unfortunately only unit tests have their coverage reported (I know it because I have some classes which are only integration tested but are reported as 0% covered).
After trying to find information on the mailing lists, on the web and other existing resources, I could not find any hint on how to make this work.
It looks like cobertura-maven-plugin, by its current design, will never run integration-test to collect coverage, it seems to stop at the "test" phase.

Thus whenever a POM project has integration tests and uses cobertura-maven-plugin for coverage report, the generated reports are wrong, which is very misleading.

Actually, I was surprised not to find this issue already in JIRA.

Is there a chance this gets fixed soon? Or is there a usable workaround for this problem (besides switching to clover which I am not sure it would work better ) Did someone succeed in patching cobertura-maven-plugin to get the correct behavior?