The Xtra Factor presenter declared he "can look but not touch" while working with Scherzinger on the ITV contest, which returns for its ninth series this weekend.
"I think most of the men in Britain have a crush on her, who wouldn't?" Metro quotes him as saying.
"She has a boyfriend, though, and I'm respectful of that. Let's just say I'm window shopping - I can look but not touch."
Murs was romantically linked to his Xtra Factor co-host Caroline Flack last year before her fling with One Direction star Harry Styles was exposed.
It has been claimed that Scherzinger will spend £750,000 on flights to see Hamilton during her stint on The X Factor.
The show premieres Saturday (August 18) at 8pm on ITV1.