West Brom have sacked Nicolas Anelka citing "gross misconduct" after the striker claimed on Twitter he had quit the club.
Mauricio Pochettino expects to be at Southampton next season and is looking forward to working with chairman Ralph Krueger.
Speculation continues to suggest that fresh terms are unlikely, with the striker having been strongly linked with an exit for some time.
Premier League clubs continue to lead the chase, with Newcastle United known to be long-time admirers.
They could get Gomis as a free agent next summer, with his contract in France running down.
Lyon tried to force the issue at the start of the season by freezing the 28-year-old out of their first-team plans, but have since welcomed him back into the fold.
Gomis says he could be tempted to stay on if things go well, but is ruling nothing out at this stage.
He told a press conference: "Prolonging my stay? It is not an issue at the moment. I am happy at Lyon but I don't know what will happen in the future.
"I didn't expect to be experiencing this good period, but I also didn't expect to be banned.
"Everything can change quickly in football. I won't close the door on Lyon, but I won't forget what happened."
Gomis' agent Francesco Di Frisco has suggested that an exit is imminent, with TMW quoting him as saying: "He's close to joining the Premier League. We are in talks with several clubs."