The 34-year-old actress, who split from actor Tom Cruise last year, is rumoured to be dating her "Mania Days" co-star Luke Kirby. But if a source is to be believed, it isn't true.
"She's lying low on the romantic side of things. She doesn't need that right now. She's just focusing on her daughter Suri," contactmusic.com quoted a source as saying.
However, the source does not deny that there is an interesting chemistry between the two.
"The word on-set is that they are hot and heavy, you can totally tell the chemistry between them. Katie obviously has it bad for Luke. They're desperate to keep the state of their relationship under wraps until it's at least had a chance to start," the source said.
"Luke's a total gentleman who always puts others first. He's also incredibly handsome, charming and completely down-to-earth. Katie adores him," the source added.