Sycamore Partners is nearing an acquisition of Walgreens Boots Alliance Inc., people with knowledge of the matter said, in a deal that could end the drugstore operator’s tumultuous run as a public company.

The companies are putting the final touches on a transaction that may be announced as soon as this week, sources said.

Walgreens Boots Alliance Inc. (NASDAQ: WBA) is reportedly close to a $10 billion buyout deal with private equity firm Sycamore Partners, according to The Wall Street Journal. The deal, which could be finalized by Thursday,