Showbiz
© Rex Features / Charles Sykes
People reports that the 30-year-old socialite was seen sat next to model Aubry at Sunday night's LA Lakers game at the Staples Centre.
The pair walked into the venue together and were later joined by Kardashian's mother Kris Jenner.
A source said of the supposed couple: "They've been dating a little bit."
Kardashian has been linked with a series of men since splitting with NFL player Miles Austin in September.
Meanwhile, Aubry announced his separation from actress Halle Berry in April this year. Berry is currently dating Olivier Martinez.
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