Local MP Fleur Anderson says the seven-year closure is causing congestion in the wider Putney area.
MP Fleur Anderson said issues in the five years since the bridge closed may further delay reopening.
The role has been vacant since Danny Kinahan stepped down in September.
Fleur Anderson was speaking at an SDLP fringe event at the Labour Party conference in Liverpool.
A border poll is 'not a priority' for the Labour Party, according to a Northern Ireland minister.
New photos from Hull show how much of a problem the beauty products are still causing in sewers.
Paymaster General says the PM was "repeatedly assured" there was no party at No 10 in December 2020.
Labour MP Fleur Anderson is proposing a new law to ban wet wipes that contain plastic.