Christian Benteke's agent has played down reports linking the Aston Villa striker with a possible big-money summer move.
Should the France international remain at Stade Gerland until the end of the season without agreeing fresh terms, that is precisely what will happen.
Gomis is due to become a free agent in the summer and has offered no indication that he will be penning a contract extension at Lyon.
Speculation has suggested that there is interest in his services during the January transfer window, with clubs in England among those said to be keen.
Lyon are now looking for Gomis to make a decision one way or the other, allowing them to either cash in on his services or tie him down on a new long-term deal.
"Lyon do not want a player of such quality to become a free agent in six months," Lyon chairman Jean-Michel Aulas told L'Equipe.
"The objective is either to prolong his contract or transfer him out."
Another of those on Lyon's books to be generating plenty of gossip during the winter transfer window is Yoann Gourcuff, a man who has been linked with Arsenal for some time but is attracting interest from across Europe.
Aulas added: "There is now some interest from Spain in Gourcuff."