"In light of the recent decision by Chelsea Pitch Owners (CPO) to retain its freehold of the ground, we reaffirm our desire to see Chelsea remain in the borough and our commitment to help the club remain at their historic home," Hammersmith and Fulham Council said in a statement.
"The council now proposes to examine whether there are planning options to expand Stamford Bridge to accommodate a larger capacity, recognising that such a project must be economically viable, benefit local businesses and not unreasonably affect residents."
"Hammersmith and Fulham Council is proud our borough uniquely contains three Premiership football clubs, Chelsea, Fulham and Queens Park Rangers," the statement added.
"We recognise all our clubs will need greater capacity to accommodate growth in their fan bases and that new [UEFA] financial fair play rules necessitate generating extra matchday revenues to remain competitive.
"We are assisting Fulham with plans to expand the capacity of their historic Craven Cottage ground. We look forward to working closely with Chelsea and all local stakeholders... to examine the options of redeveloping Stamford Bridge."
Seventy-five percent of votes were needed to accept the football club's proposals last week but only 61.6 percent were in favour.
