Will this mess up my supply?

RVASC811

My 6.5 week old has started going one 6 hour stretch between nursing sessions--about 9:30 pm to 3:30 am. My pedi told me to set my alarm for 6 hours, which I do, and the rest of the day I never let her go more than 3 hours, usually 2-2.5. She would probably sleep past the 6 hour mark, but at one month, she was only 8 lbs. 2.5 oz.

Anyway, will regularly going one 6 hour stretch this early mess up my supply?