An extremely high level source tells NBC5, Kirk is one of two finalists for each position.
The source said Kirk would be happy with either position but would be thrilled with the trade position.
As U.S. Trade Representative Kirk would negotiate trade deals with other countries on behalf of the United States.
Kirk has been a long time supporter of Obama and is a personal friend of the President-Elect.
Kirk is in Dallas finishing the interview process with the Obama transition team.
A decision should come within days.
Kirk is currently a lawyer with the Houston based law firm Vinson and Elkins.