If/when he wakes... is he crying/screaming and totally "awake"? Or just stirring but still sort of sleeping?
If he is not totally fully awake and just stirring/rustling/making sleep noises... then just try and let him be... he may fall back asleep. Lots of babies just stir at during sleep. Moving around, does not necessarily mean they 'woke up.'
Next, my kids were big when born.... 8.5 pounds and 21" long.
I nursed both my kids. With my firstborn, I was like you.... so tired, nursing, falling asleep nursing, baby falling asleep nursing etc.
I fed ON-demand.... for the 1st year of life...which is what my Pediatrician recommends.
I do not really agree, that a "big" baby does not need to be fed a night.
Both my kids were big... AND they had ENORMOUS appetites... and even "cluster-fed" which means feeding every.single.hour. Day or night.
And, because they were big they had big appetites... and nursed for a long time drinking me dry each time, both breasts, and they grew like weeds.
Breastmilk... also metabolizes quickly in the baby's body... thus, they get hungry, more often. And a baby's tummy is small. It can only hold so much.
AND, your baby is a newborn... only 7 weeks old. If he needs a feeding, then he should be fed, not denied. Also, in newborns, they go through "growth-spurts" every 3 weeks. Then at 3 months, 6 months, 9 months and so forth, every 3 months.
And, as a baby hits growth-spurts or just develops and grows... they need increased intake... and if you do feed on-demand... this then triggers your body to then produce enough breastmilk, for YOUR baby... to keep pace with your baby. Otherwise, you may not produce enough milk.
There is a reason for wakings... especially in newborns.
all the best,
Susan