The All England Club intends to develop Wimbledon Park with courts and an 8,000-seat stadium.
Deputy Mayor of London Jules Pipe concluded that the scheme’s “significant” economic and community benefits outweigh its drawbacks.
Though they are out of alternatives, locals and politicians opposed to the initiative could still file for judicial review.
Deputy Prime Minister Angela Rayner has said in a letter obtained by Sport that the proposal “should be determined at a local level,” even though she is able to convene a new planning hearing.