The forward is expected to leave Goodison Park this summer after failing to impress since arriving in the January transfer window.
He has not featured under new manager Ronald Koeman in pre-season and has also not been handed a squad number for the upcoming campaign.
A move to Crystal Palace has been touted, with HITC Sport understanding that he could head to Selhurst Park on loan as part of the deal taking Yannick Bolasie to Everton.
Niasse is thought to be carefully considering his options this summer to ensure he makes the right move to get his career back on track.
According to the newspaper, he is wary of joining Alan Pardew’s side as he fears he may end up swapping one bench for another, especially with the Eagles eyeing a move for Christian Benteke.