I'll get right on (something)
I'll do that particular task promptly. A: "I need you to print this file ASAP." B: "OK, yep, I'll get right on it."
I'll get right on it.
I will begin work on that immediately. Bob: Please do this report immediately. Fred: I'll get right on it. Jane: Please call Tom and ask him to rethink this proposal. John: I'll get right on it.