And it's also claimed by The Mirror that a Christmas single could be on the cards from the girls - with bookies Ladbrokes already slashing the odds on that eventuality.
There's even a possibility that the girls might get back together without Victoria Beckham - who is always cited as the stumbling block in reunion speculation because of her busy schedule.
Radar quoted a source as saying: "Mel B is spearheading the crusade for the band to do a reunion tour as they had a total blast performing at the closing ceremony.
"Geri Halliwell, Mel C and Emma Bunton are all on board, but, of course, the lone holdout is Victoria. Vicky says she just has way too much on her plate right now with her fashion label and so busy being a mother to four young children, and wife to David and it just doesn't seem like she wants any part of a reunion tour.
"Mel B is the mama bear and de facto leader of the Spice Girls and it's no secret that she and Vicky have had their differences over the years.
"However, Mel has been extremely diplomatic and sincere when talking to Vicky about doing the reunion tour and is hopeful that she will relent and agree to do it."
But if not, it's claimed that the remaining girls could reunite sans Posh - in the same way that Take That got back together without Robbie Williams.
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