The company’s board has been preparing for Dorsey’s departure since last year, the source said.
The news comes as Twitter has accelerated the pace of its product innovation over the past year to compete with social media rivals such as Facebook Inc and TikTok, and to reach its goal of doubling annual revenue by 2023.
Twitter was not immediately available for comment.
Shares of the microblogging platform surged 9% in early trading, while those of digital payments firm Square Inc, of which Dorsey is also chief executive, were up 3%.
Trading in the shares was then suspended ahead of an expected announcement.
In his latest tweet on Nov 28, Dorsey said: “I love twitter”. The “likes” on that tweet surged to more than 54,000 today.
CNBC was first to report Dorsey’s move.
In early 2020, Dorsey faced calls from Elliott Management Corp to step down, after the hedge fund argued that he was paying too little attention to Twitter while also running payments processing company Square Inc.
Dorsey fended off the pressure by giving Elliott and its ally, buyout firm Silver Lake Partners, seats on Twitter’s board.