Reichek is a former friend of Scott, who dated one of his closest friends for five years, she claims they were in the same social group.
'Scott and one of his buddies had a system,' Brittany, 29, told the magazine.
'They would pass themselves off as wealthy stockbrokers, pick up girls in the clubs in the Hamptons, get drunk with them, then take them back to their parents’ homes and claim the houses were their own.'
'When the time was right, Scott and his friend would go through their handbags and steal just about anything they could get their hands on,' including cell phones, camera, cash and even credit cards, she alleged.
Star continue to add that a representative for Scott, 29, denies the claims but Brittany says that Scott and his friend 'videotaped girls and stole from them more than 50 times in the years I was around him.'
She added: 'I think Scott got as good a high just from the actual things he stole.'
It's a terrible time for the accusation, as Scott and Kourtney are struggling to make their relationship work despite their daughter Penelope's birth on July 8.