Sleeving 340 for a Stroker kit

Yes a sleeve will work with a 4.00" stroke, but unless it's to restore an original 340 for restoration purposes I wouldn't bother.
Bite the bullet and look for a 5.9 core and settle for a meager 8 less cubes.
When you have .030 over pistons(4.070) and a crank with 340 mains it’s worth it to sleeve it.