Dixon quit the BBC contest to join Simon Cowell's ITV programme Britain's Got Talent on Monday (January 2), having apparently been offered triple her Strictly fee.
It has since been claimed that BBC bosses are looking to get even with Cowell by poaching Scherzinger - a former winner of America's Dancing with the Stars - from The X Factor USA.
"Nicole is young, sexy and knows what she's talking about," a Strictly insider told the Daily Star. "Having already won the US dance show her credentials are good.
"And taking her off Simon would be great. Alesha leaving could end up being a great move for the show."
Scherzinger has hinted that she may not return to The X Factor USA next year.
Dance pro Karen Hardy is the early bookmakers' favourite to join Strictly, while Darcey Bussell, Dirty Dancing star Jennifer Grey and former winner Kara Tointon have also been touted for the role.
Dixon will judge alongside Cowell, David Walliams and Amanda Holden when Britain's Got Talent returns in the spring.