Twitter's $31.5 billion market value is a fraction of what companies such as Tesla or rival social media giant Meta, the owner of Facebook and Instagram, are worth.
Unlike Musk, who owns more than 20% of Tesla, Dorsey's stake in Twitter is relatively modest, with only 2.3% of the company's shares.
He recently ran a Twitter poll asking his followers whether they believe Twitter rigorously adheres to the principle of free speech — 70% said no.
Musk had expressed support for Dorsey in the past when he was facing criticism from some shareholders.