Jake Gyllenhaal doesn’t give up easily! In Touch can reveal that after a year of chasing Sports Illustrated swimsuit model Alyssa Miller, he finally got the 23-year-old beauty to give in and be his girlfriend. “Jake made a major play for her,” an insider says of Alyssa, who first met Jake, 32, about a year ago at their shared NYC gym. “She told him she had a boyfriend, but Jake endlessly called and texted her.” Did Jake’s smooth moves lead the beauty to break up with her guy of two years? According to the source close to Alyssa, “Jake’s main line was: 'If I can’t be your boyfriend I will be your best friend.'" And now she and the Source Code star seem to be making up for lost time! “They couldn’t keep their hands off each other,” a witness who saw the duo on June 16 at NYC’s Cold Process Coffee and Tea tells In Touch. “They seemed really into each other.” For more on Jake's new romance, pick up this week’s issue of In Touch, on newsstands now.