The 23-year-old actress, who has just landed the lead in the Fifty Shades of Grey movie, has reportedly been seeing the Last Man Standing actor for the past year, according to JustJared.com.
Like his girlfriend, whose parents are actress Melanie Griffith and actor Don Johnson, Jordan, 27, comes from a movie-minded family.
His half-brothers are That '70s Show star Danny Masterson and Malcolm in the Middle actor Christopher Masterson.
Jordan's half-sister is actress Alanna Masterson.
Dakota to become leading lady
Dakota is on the verge of becoming one of Hollywood's top leading ladies after landing the role of virginal Anastasia Steele in the Fifty Shades of Grey movie, which is based on E.L. James' erotic novel of the same name.
The young actress will star opposite Pacific Rim hunk Charlie Hunnam, who is set to play her bondage-loving boss and paramour Christian Grey.
The stars will share numerous intimate scenes in the movie adaptation and Charlie, 33, recently revealed he believes it will be hard for his long-term girlfriend, Morgana McNelis, to see him in the throes of passion with another woman on the big screen.
He said: "It's very hard to be with an actor. She's required to share parts of me that she wouldn't really want to share, so of course with the nature of this role that's going to be times ten.
"So it was a decision we made together but you know, she loved the books, she read them and loved them and she was really excited at the potential of this opportunity for me and, if anything, I think it will bring us closer."
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