Credit: Splash News Online; Christopher Peterson/

Eva Mendes is in crazy, stupid love with Ryan Gosling -- and she is pushing him to take the next step!

To convince her beau of six months she's serious, Mendes, 38, offered to babysit his beloved dog, George, while the actor, 31, films Only God Forgives in Bankok, Thailand.

"He was going to have his friends watch George, but changed his mind at the last minute," a source tells the new Us Weekly, on stands Friday. "That's a huge deal to him. He wouldn't leave that dog with just anyone."

Get more inside details on Gosling and Mendes' relationship, only in the new Us Weekly!