Karwai Tang/WireImage
Kara Warner
June 01, 2016 AT 09:24 PM EDT

This article originally appeared on PEOPLE.com.

There is good reason to envy Emilia Clarke.

She’s on a globally popular TV show, Game of Thrones and stars in the buzzworthy new romantic drama Me Before You based on Jojo Moyes’ best-selling novel. But most important, she’s had the pleasure of sharing steamy fictional romances with a very handsome string of suitors: her Thrones paramours Jason Momoa (Khal Drogo) and Michiel Huisman (Daario Naharis), and Me Before You costar Sam Claflin (The Hunger Games, to name a few. 

“I know, they are so dreamy!” Clarke gushes about her onscreen love interests in the new issue of PEOPLE. But there’s a problem: “Every character I’ve been with has been too perfect.” 

“Genuinely my ideal man is someone who, I know every woman says this but I mean this from the bottom of my heart, someone whose brain is as big as their funny bone,” says Clarke of her ideal man or “type.” (In the past, she’s been linked to to Family Guy funnyman Seth MacFarlane and her Terminator Genisys costar Jai Courteney.) 

“I want someone who is super smart, can make me laugh, has like a dad bod,” she says. “I don’t need no six-pack. Like, I ain’t kicking it out of bed for sure, but every character I’ve been with has been too perfect.” 

Clarke claims she currently has no real-life suitors. “Ain’t nobody proposing,” she says with a laugh, adding that she would, however happily consider a certain Oscar winner. “If Leonardo DiCaprio decides to stop dating supermodels!” 

Catch more of Clarke in Me Before You, in theaters June 3.

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