Mr Khan, Labour’s London election campaign manager, was credited with leading the party to a good result in the capital, gaining seven seats.
Diane Abbott, the other prominent Left-winger in the contest, today set out her pitch for the student vote with a package of pledges including a freeze on transport fares and rent controls.
The Hackney MP said: “London’s globally renowned education institutions and vibrant cultural scene help make it one of the most attractive cities to study in the world but the Conservative-led Government have made cut after cut to further and higher education.
“A new Mayor of London must stand on the side of those seeking education and ensure London is a place of opportunity for all.”
Ex-Cabinet minister Tessa Jowell is the current frontrunner. Labour MPs David Lammy and Gareth Thomas, and transport journalist Christian Wolmar, are also standing.