I had to remove some drywall and insulation from my basement wall.?

I removed all the insulation up to the ceiling but only the bottom four feet of drywall, which means there is four feet of drywall towards the ceiling that is still in tact. Will I be able to slide batts of insulation up behind those closed four feet between the studs, or do I have to rip out the entire wall (which I would rather not do) in order to get the batts up there? If I try this, are there any suggestions on how best to do it?