Warburton was in charge at Brentford last season but left the club at the end of the campaign. Rangers, meanwhile, are looking to appoint a permanent boss ahead of next season, with Stuart McCall only in charge of the Gers on an interim basis.
Warburton has held 'informal talks' over joining Rangers, according to BBC Sport, and the Barnet boss, who used to work at Brentford himself, feels he would be the perfect fit at Ibrox.
Indeed, Allen thinks Warburton is more AVB than Ally McCoist, meaning the 52-year-old will break the mould at Rangers.
He told the Mail: "Football is a totally different game now. Andre Villas-Boas was never a player, Rafa Benitez was rubbish, Arsene Wenger was pretty bang-average. There are few that still buck the trend but on the whole it is different breed of football manager coming through now and being successful. Mark is one of them.
"Let’s be brutally honest, he is breaking the mould. He is not Ally McCoist, he is not Stuart McCall, he is not Graeme Souness. His network of contacts is so extensive that it could only be good for a club like Rangers. In fact, it would be sensational."
And Allen has also stressed that the quality of football played by Brentford under the 52-year-old is something Rangers fans would 'absolutely love.'
Complaints from Gers fans at Ibrox have been plentiful this season in that department, firstly during McCoist's tenure and then Kenny McDowall's.
But would a Warburton appointment put an end to all that?
Allen added: "You want to see the football they played at Brentford. They got it down and played from the goalkeeper, keeping possession and interchanging positions, making it very difficult for the opposition. I’m sure the Rangers fans would absolutely love that."