The couple got back together in August shortly after they ended their three-year relationship, and now things appear to have escalated between the pair with the 26-year-old beauty said to be splitting her time between her own abode and the 25-year-old singer's.
A source said: ''When she's not travelling and working overseas, she's with Chris at his house most of the time.
''She's between her apartment in the valley and his house these days and for now, it's working out for them.''
While things look to be on the up for the couple, they are said to be keen to keep their relationship unofficial because they are not clear what ''direction'' they are going in.
The source added to HollywoodLife: ''They're still chilling and doing what they do but no, it's still not exactly clear on what the direction the relationship is going in.''
Earlier this month, Karrueche was in attendance at a Washington DC superior court to support Chris, who pleaded guilty to assault.
The star, who was charged with misdemeanour assault for allegedly punching Parker Adams outside the W Hotel in October, managed to escape jail time as he was sentenced to time already served by the judge.
Chris - who was previously placed on probation for five years and sentenced to six months community service for assaulting then-girlfriend Rihanna in 2009 - was released from jail on June 2 after spending 108 days behind bars for violating his probation.
But since coming out of prison, he recently said the experience has made him more mature.
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