Shaw completed two of three passes for 22 yards in Sunday's 19-7 victory over the Titans.
Shaw came in to play during the last three minutes of the game after Mike Glennon and Mitch Trubisky were finished for the day. Although Mark Sanchez didn't play in the contest, Shaw is more likely to land on the practice squad than earn a spot on the regular-season roster, as Sanchez remains ahead of him on the depth chart.