It is not critical to be ultra precise in length of pull. It just needs to be comfortable to mount easily and not so short he is bumping the nose with the thumb.
My son's LOP was 12 5/8" with 2 1/4" drop at heel and 1 3/8" drop at comb nose on his little gun. He is now 22 and shoots a 15" pull on competition guns but can still plink with that little gun.
Acer mentioned "drop" and I agree with him but want to define that a bit more. As kids are growing, different parts are growing at different rates as he mentioned. Many have long necks and need some drop at
heel to compensate. That said, many of those same kids will need
less drop at the comb nose because of higher cheekbones. Adding drop overall without seeing how it will fit the youngster could have his head way off the gun to see thru the sights or cause him to raise the butt too high above the shoulder to get his face on the gun.
I would choose the longest LOP you can get away with and him still be able to mount it now. Then fit him with the correct drops based on that chosen LOP. Changing the LOP will change all the drops unless you are running a parallel comb line. LOP is is the least important as far as exactness is concerned but everything is built around it.
Here is a pic of my son's gun. It has a high comb line like an early 18th century fowling piece. Not the prettiest lines but fit and function was chosen over style and grace in this instance. If architecture is having a disagreement with gun fit (it often does) you can get the heel drop established and create a pleasing comb line then add moleskin to the face contact area to build it up.