I thought that the reason that Lee was helping him is because Adama felt he needed the help after the explosion. Lee volunteered. If he was healthy, he didn't need Lee.
Ding. Ding. Ding. Technically he probably didn't need Lee. However, for the purpose of the case, he wanted Lee. We got to see exactly why. His character was all about using advantages whenever and wherever he could. Something he picked up from Lee's grandfather.