Photographs of the 21-year-old model holding hands with Maxsim during a stroll in New York were published over the weekend, fuelling rumours of a hot new couple.
Hunky Maxsim shot to fame as a pro dancer on Dancing With The Stars, the US version of Strictly Come Dancing. His partners on the show have included Mel B, Denise Richards, Kirstie Alley and Brandy.
The 33-year-old is not appearing in the sixteenth season, which is currently airing in the US.
Kate and Maxsim were pictured walking together in Manhattan, perhaps apartment hunting for the model?
According to the New York Daily News, she's interested in buying a place in the city. Sources say she is currently based near her family in Florida. And NYC would be convenient for Maksim – he owns a home in nearby New Jersey!
Sports Illustrated cover girl Kate hasn't responded to the romance speculation. Perhaps her smile in Paris today says it all?!
Gorgeous Kate is in the French capital for Paris Fashion Week, which has already seen an array of celebrities on the FROW including Kim Kardashian, Kanye West, Lily Collins, Miranda Kerr and Olivia Palermo.