The Black Catsâ€™ ÂŁ10m-rated striker has been linked with a summer move to Arsenal after a superb season for Oâ€™Neillâ€™s side, says the Daily Star.
Sessegnonâ€™s old club Paris Saint Germain are also preparing a bid to lure the 27-year-old back to the French capital.
Oâ€™Neill said: â€śSess is playing brilliantly. Thereâ€™s talk of him being unhappy and having a tough time with his family. But believe me, he couldnâ€™t be happier.â€ť