Bedimo said that he wants to play in the Champions League, but will wait until the end of the season before deciding his future.
"I have heard of the interest of clubs in the Premier League," Sky Sports News quotes the 28-year-old as saying. "But when you hear there is interest from a Champions League club in France then you have to think about it.
"Newcastle and West Ham are both good clubs in the best league in the world, but I will not decide my future until at the end of the season.
"I want to be playing in the Champions League as well."
The left-back arrived at the Stade de la Mosson from Lens in 2011.