Make sure your training heavy
But you may need longer than 1 month to get a little leaner, Incorporate some forms of cardio (link below):
This is a 1 hour listen, but will shock you regarding cardio and its benefits and how some forms are more catabolic than you think (long bouts of LISS)
Keep the refeeds those are essential, but make sure your counting calories this will aid you greatly. Seems like you have a good grasp on diet, what kind of training are you doing?