Jun 29, 2011 08:12 GMT  ·  By

They’re both single (by all accounts) and ready to mingle. A new report suggests that Jake Gyllenhaal is taking a serious interest in Olivia Wilde who, just recently, was linked in the tabloid media with Justin Timberlake and Bradley Cooper.

The two were recently spotted together out on a date, acting very affectionate towards each other, which has prompted onlookers to assume they may already be in a relationship, albeit possibly a new one.

“Jake Gyllenhaal was cracking up and laughing with pals during a lively night at West Hollywood’s Chateau Marmont – but the actor gave special attention to one woman: Olivia Wilde,” People magazine reports.

Eyewitnesses say for the mag that there was no doubt there was something going on between Jake and Olivia, and they made no attempt at hiding it.

“The two were very flirty, an onlooker says, acting ‘touchy-feely’,” People further writes.

“At one point, he had his hand on hers,” the insider says, adding that, at the same time, the stars tried to play it cool and not make a spectacle of themselves.

“Olivia was very cool and wasn’t fawning over Jake but seemed to like the attention he was giving her,” the same onlooker says for People.

Nevertheless, the two did not leave the Chateau Marmont party together, which could mean that they’re either at the beginning of their relationship or are yet to embark on it.

Just recently, Olivia was spotted on another date with an A-lister, as we also informed you at the time. She and Bradley Cooper went out clubbing together and even spent the night together, as per reports.

A couple of blurry photos showed the two together at a party, but they weren’t kissing or being too affectionate towards each other, which could just as well mean they were simply acquaintances catching up – and standing so close to one other to make themselves heard over the music.