Sources close to the ex-couple tell TMZ, Chad's on track to finish his batterer's intervention program in the next couple months -- at which point Chad will ask the judge to terminate his probation and lift the no-contact order.

If that happens, Evelyn would have to get a civil restraining order to keep Chad away -- but we're told she has decided NOT to do that ... because she just wants to "move on."

Chad was sentenced to one year probation and the batterer's class after pleading "no contest" to domestic battery following the August 11 fight with Evelyn -- but since he's completing the class early ... the judge can also lift the probation early.