In recent months, speculation that Twitter will be sold has gathered steam. Last week, sources told CNBC that several technology and media companies had expressed interest in acquiring Twitter, including Google and Salesforce.com
Earlier in the day, Twitter's stock was down 4 percent but turned positive after the news, with trading almost double its 30-day average volume. Meanwhile, Disney's shares were down more than 1 percent after the news.
"As a matter of policy, we don't comment on rumors or speculation," Twitter said in a statement.
Twitter CEO Jack Dorsey is a board member at Disney, according to the entertainment giant's website.
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