It is doable, but you need to be very, very consistent. No cheat meals, perfect diet, plenty of cardio around your regular routine, pretty much shut your life down for 6 weeks.
In my previous cut I averaged 1.2%bf per week, but that was extreme (twice a day training six days a week). For you, a 1000 calorie deficit, plus 5 days of good training will put you on the road to glory. But every week make sure to recheck your bmr and calorie needs because your metabolism will slow as the weight drops, so you'll need to up the cardio (my preferred route) or reduce the calories more (don't recommend this).
You can definetly do this, good luck.