The Blues were granted planning permission to build a new 60,000 capacity stadium
Twickenham residents have opposed the proposal
Chelsea now look set to play at Wembley during the redevelopment of Stamford Bridge.
The Blues were granted planning permission by Hammersmith and Fulham council last week to build a new 60,000 capacity stadium.
Twickenham had been earmarked as a possible temporary home for the club while Stamford Bridge is being redeveloped.
But RFU chief Ian Ritchie has confirmed "there is no intention" to host matches at the home of rugby, reports the London Evening Standard.
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A letter from Twickenham MP Dr Tania Mathias to Ritchie last week, read: "Following the decision by Hammersmith and Fulham council to approve plans for Chelsea’s new stadium, I am writing to you to re-state my position that I do not support Chelsea FC being based, temporarily or otherwise, at Twickenham.
“My opposition to more non-rugby fixtures at Twickenham is based on concerns regarding increased problems for local residents such as match-day traffic, an increase in litter, public urination and other anti-social behaviour.
“I would appreciate reassurance from yourself that my fears are unfounded, as hosting regular football matches at the RFU Stadium is clearly the wrong decision for Twickenham.”
