Oct 2 (Reuters) - Boaz Weinstein's coalition has sweetened its offer for hedge fund firm Sculptor Capital Management, the Wall Street Journal reported on Monday, citing people familiar with the matter.

Over the weekend, Weinstein's group presented a bid of around $13 a share, up from its previous $12.76 per share offer, the report said.

Wall Street investor Weinstein and his group of bidders have been caught in a bidding war as Sculptor sticks to a deal with asset manager Rithm Capital that was made in August. (Reporting by Savyata Mishra in Bengaluru)