The couple, who have been dating since late June, have been 'inseparable' over the past few months and have been spending a lot of time at the Coldplay frontman's 10 million pounds home in Malibu, California, reported Daily Mirror.
"This is it for Chris. He adores her and they've become inseparable. She has pretty much moved in," a source said.
The 37-year-old singer split from his wife Gwyneth Paltrow, with whom he has Apple, 10, and Moses, eight, in March following 10 years of marriage.
He was initially hoping to patch things up with the blonde beauty, but has reportedly changed his mind after falling for the 24-year-old 'Hunger Games' actress.