The 22-year-old Dutchman is unhappy at the lack of games he is playing at Stamford Bridge.
Robben started the match in the win over West Ham on Saturday but is reported as saying he will consider all his options if he is not given a regular start.
Robben has had a number of injuries in recent seasons and is only now back to full fitness.
Like Joe Cole and Shaun Wright-Phillips, Robben has struggled to fit into Jose's non-winger formation this season.
The arrival of Michael Ballack has resulted in one less winger for consideration.
But it's the insistence in playing an out of sort Andriy Shevchenko which has created much of the frustration.
Having to play two strikers - how could Mourinho leave out Didier Drogba, has resulted in Jose revamping his midfield and it's the wingers who have been sacrificed.
Damien Duff jumped ship in the summer fearing the worst and now Robben is looking to do the same.
Real Madrid could come sniffing in the next couple of weeks.