The 19-year-old actress started dating the 26-year-old rocker in August, two months after she ended her one-year relationship with oil heir Brandon Davis.
Despite admitting he is very happy with Barton, Adler insists they aren't making wedding plans.
He says, "Yes, Mischa is my girlfriend. But we are not engaged."
Adler was previously engaged to Rod Stewart's socialite daughter Kimberly until May.
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