Graham's time on Wearside appeared to be coming to an end when he was loaned out to Wolverhampton Wanderers earlier in the campaign, but he has come back into contention of late.
The 29-year-old has impressed during substitute appearances against Liverpool, Tottenham Hotspur, Burnley and Fulham and he was even handed a start against Swansea City over the weekend.
Although Graham did not manage to hit the back of the net on Saturday, he still appears to have moved himself back into favour and Poyet's comments should help to convince him that he can revive his career with the Black Cats.
“I feel great about the possibility of using the four strikers as much as we can,” Poyet said.
“We’re trying to see which is the best partner, the one who gives us the most."
With Jermain Defoe looking likely to be a permanent starter until the end of the season, it means that Graham has one spot in the line-up to go for.
He will have to compete with Connor Wickham and Steven Fletcher for it, but the former Watford man should feel confident of his chances of beating either into Poyet's team.
Both Wickham and Fletcher have struggled for goals this campaign and should Graham be able to start finding the target more frequently, he could well become Defoe's regular partner up-front.