This is a 2 part study. The goal of the first part of this clinical research study is to find the highest tolerable dose of azacitidine that can be given with a TKI that you are already taking (such as Gleevec, Sprycel, or Tasigna). The safety of this drug will also be studied. The goal of the second part is to see if this combination may improve your response to the TKI you are already taking.