Graham only made the bench in the Wearsiders' last Premier League outing against Chelsea, while Cuellar missed the game entirely with an ankle complaint.
Paolo Di Canio: "Danny hurt himself on the training ground on Saturday and that is why he did not play in the game.
"But he is fine now and it is good to have him back. I don't expect a problem with Connor. I expect him to be available on Sunday.
"When I got here, I had heard he had an injury that could have kept him out of the side for the rest of the season, but he is fully recovered. Last week, he did a fantastic job on his rehabilitation and he has joined in with full training this week.
"He has done everything with us - technical, tactical, high intensity, the little games – so that is great for us. Both Carlos and Danny completed the whole session."