The X Factor hopeful, 16, apparently met Syanne Patterson backstage after a recent performance.
It is thought that the reality show's producers only discovered the pair's romance last weekend.
A source told The Sun: "They've been seeing each other really hush-hush for a bit but producers started asking questions. He's completely smitten."
Meanwhile, Styles's fellow contestant Matt Cardle is rumoured to be seeing Britain's Next Top Model star Grace Woodward.
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