The singer is said to have befriended the model after she admitted having a crush on him earlier this week.
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Arthur had allegedly tried to keep his celebrity friendship a secret from his fellow finalists but was caught chatting to her at 4am on his computer, reports The Sun.
A show source said: "James came into the contest thinking he was this big ogre that girls would never fancy.
"But now he's been caught red-handed flirting with one of Britain's most famous glamour girls — and she has been coming on to him.
"It's not easy to see what they both have in common, apart from a love of tattoos, but they seem to be getting on like a house on fire."
The insider added: "He's been trying to keep it quiet but was busted and looked all red-faced."
James Arthur was previously linked with Take Me Out star Chanelle McCleary, after dumping his dancer girlfriend Lucie Poole.
The X Factor continues this Saturday (October 13) on ITV1.
X Factor's Top 10 Novelty Acts:
10. Gary Barlow's Frankie Cocozza turned into a novelty act on The X Factor last year, before leaving the show after being overheard talking about abusing drugs.
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