The Premier League side have been linked with a transfer move for the central midfielder to bolster their squad.
However, the club's head of recruitment John Marshall poured cold water over such claims.
He told Italian journalists and TMW that a move for Kessie is not real enough to warrant a January move.
Marshall said: "There was an interest (in Kessie) but there was never a real negotiation.
"I don't think so (that they would target him in January), we have so many players in midfield."