Howard has started on the bench in recent weeks following his recovery from a hamstring injury, while Monkhouse was among the substitutes in last week's goalless home draw with Yeovil.
Fellow midfielder Sweeney has also played a bit-part role following his recent return from a knee injury, but he managed 45 minutes for the reserves in midweek and could be in contention to make his first start since January.
Teenage defenders Jordan Richards and Jack Baldwin remain sidelined with long-term knee injuries.
Richards is out for the rest of the season after undergoing surgery to repair cartilage damage, while Baldwin could also be sidelined until the summer after damaging medial ligaments.
Pools are still six points from safety, but have lost only one of their last 10 league matches.