But Prince Alwaleed bin Talal, who was one of Twitter's earliest investors and who owns 5% of the company, doesn't agree.
In an interview with the Financial Times, the Saudi billionaire said Dorsey should return to his other job, as CEO of the mobile payments company Square, rather than take on the Twitter job for a second time.
Instead Prince Alwaleed thinks the new Twitter CEO should have the kind of marketing experience required for the company to encourage more users to join the platform.
"Jack has another company called Square, which requires a lot of attention and a full-time job 'round there," Prince Alwaleed told the FT. "I believe and trust that Jack Dorsey is there on a temporary basis. The new leader has to have tech savviness, an investor-oriented process, and a marketing mentality."
Prince Alwaleed didn't name a suitable successor, but his description sounds a lot like Adam Bain, Twitter's current revenue chief.
The appointment of Bain would be warmly welcomed by the
Forbes has also pegged Bain as the front-runner for the CEO role, adding that Bain wanted the role, with a source saying the former News Corp executive had "total loyalty of half the company."