The club is looking to extend the ground from its current 41,798 capacity to 60,000.
Construction work on any extension would be complicated by the current size constraints of the west London site.
Chelsea could also have to play matches away from their historic home for two seasons while work is carried out.
The club said: “Mr Abramovich has appointed a professional team to assess, in more detail, the feasibility of expanding the existing stadium capacity at Stamford Bridge Grounds.
“Technical solutions for stadium capacity expansion are being investigated initially.”