It's really hard for any team just to acquire our #11 pick without swapping their first. For example, the Bears pick is worth 1250 points. Dallas drafting around 3 or 4 in each round would have to give up #2, #3, and #4 and much more.
I could see the Bears sliding up or down 5 or 6 spots if they don't stay at 11, but it would take a lot to have no pick in the first round. Maybe someone like Wilkerson of the Jets.