The team behind the world-famous championships is aiming to build an 8,000-seater stadium on the former Wimbledon Park golf course.
The decision is currently with the deputy Mayor of London’s office after Merton Council agreed the plans, but Wandsworth rejected them.
Lib Dem Paul Kohler says it’s not about negativity towards the sport.
The All England Club says the plan will deliver one of the greatest sporting transformations for London since the 2012 Olympics.