He only has 18 months left on his deal and talks over a new contract have been postponed until next summer. The striker has been plagued with a knee injury this season which has led him to start only one game in the Premier League so far.
He also made the headlines for the wrong reasons on his latest comeback against Burnley at Stamford Bridge two weeks ago when he threw a coin into the stand at away supporters.
The Football Association handed him a three-game ban and Chelsea are still considering whether to fine him two weeks' wages, which is £180,000.
The club were also frustrated by Drogba's comments last season as well as some of his behaviour on the pitch, which included getting sent off in the Champions League Final against Manchester United.
Former Italy coach Arrigo Sacchi recently claimed that he expected Drogba to be involved in a swap deal with Inter Milan striker Adriano in the January transfer window.
However, that has been dismissed as "just speculation" by a Chelsea spokesman, with manager Luiz Felipe Scolari expecting Drogba to play a big part in the remainder of the season.
He is set to start against Bordeaux in the Champions League tomorrow night, where Chelsea can seal a place in the knock-out phase with a win.
