Actress Katie Holmes is reportedly dating Swedish actor Alexander Skarsgard.

Holmes 35, grew close to Skarsgard, 37, when they filmed "The Giver". They are said to have enjoyed a string of secret meetings after that.

"Their flirtation was one of the worst kept secrets on set. Nobody is surprised that they've been spending time together. They really enjoy each other's company," a source told Grazia magazine, reports femalefirst.co.uk.

Holmes, who has an eight-year-old daughter Suri with ex-husband Tom Cruise, will be able to spend even more time with Skarsgard in the coming months as they will be promoting their movie.

The source added: "While it's all quite casual at the moment, they are looking forward to spending more time with one another as they promote the film, especially as they are both single."