Warburton, 53, has enjoyed a remarkable start to life as Rangers boss, winning 12 of his 13 league games in charge as the Gers lead the way in the Scottish Championship title race.
It was always seen as something of a coup when Rangers landed Warburton over the summer, after the former city trader had surprisingly left his role as Brentford boss despite guiding the Bees to promotion from League One in 2014 as well as in to the Championship play-offs last season.
After that sensational start to his Rangers career, reports from The Scottish Sun are now suggesting that Warburton has been offered the chance to return to English football and to his hometown of London, with Fulham and QPR both pursuing him.
Fulham parted company with Kit Symons last weekend following a 5-2 home defeat to Birmingham City, whilst Queens Park Rangers are also looking for a new manager following the departure of Chris Ramsey earlier this month.
The Scottish Sun believe that both clubs were hoping to lure Warburton away from Ibrox, but the Rangers boss has allegedly made his intentions clear by telling the two Championship teams that he intends to return Rangers to their former glories, starting with promotion this season.