Manager Martin O'Neill has repeatedly played down the talk and expressed his desire to retain the services of arguably his most creative player, and now the man himself has moved to play down fears of an imminent departure.
Sessegnon told the Sunderland Echo: "I have got no problem with life here, and it's always good news to hear that the manager wants to keep you.
"I'm aware of the speculation, but I can't do anything about it. As I have said before, I don't feel that my work here is finished.
"It's true that when I first came here, it was hard to get used to the style of play. But now I like the Premier League and I think I have improved.
"I'm playing for a team who like to play football, with great fans."