This would be a significant gain as the south west London council has been under Conservative control since 1978.
Outgoing BBC political editor Laura Kuenssberg tweeted: “Sadiq Khan has arrived at the Wandsworth count – if Labour weren’t pretty sure of winning that iconic tory council, the chances that he’d turn up are not exactly high!
“Altho (sic) it is his local patch.”
Chief Political Correspondent at Sky News Jon Craig also shared on Twitter: “Significantly, I’m hearing that Labour have gained the new Trinity ward in Wandsworth from the Tories.
“Not confirmed, though. Sadiq Khan has arrived at the count, suggesting Labour getting more confident.”