Yes, your body will adjust. I pumped exclusively for almost a year and NEVER during the night. Sleep is just too precious! My last pumping session would be around midnight and the first for the day was at 7 am.
I'm impressed you are still pumping 6-7 times daily! By the time my son was 4 months old, I was down to 3 pumping sessions, but then I produced milk like a cow. =) Are you getting a lot more than you need, or is it just enough? If you are getting a lot of extra, I recommend cutting down the number of times per day that you pump. It will make the night-time adjustment easier.
Also, I don't know if you do this already, but I found I could get a lot more in each pumping session (therefore reducing the number of times I had to do it) by squeezing and massaging every single drop out and pumping a minute or two longer than necessary. Again, any change will have an adjustment period but you can experiment and figure out what works best for you and your body. Just make sure you have plenty of nursing pads on hand in the mean time. =)