Twitter shares were up more than eight percent to USD 18.15 at about 1720 GMT.
The market reaction was fueled by a report at technology-industry focused website The Information that venture capital powerhouse Marc Andreessen and the firm Silver Lake Partners is considering a deal, perhaps to acquire or take a controlling stake in San Francisco-based Twitter.
The Information cited unnamed sources said to be close to the matter, and said it did not know whether the talks were still taking place.
The latest report came fresh on the heels of the firm announcing it is overhauling its top management in a major shakeup, as the social network struggles to boost its profitability and growth prospects.
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CEO Jack Dorsey last week confirmed the overhaul, explaining that some top managers "have chosen to leave the company."
Dorsey currently is managing two firms, Twitter and mobile payments startup Square -- both multi-billion dollar companies struggling to achieve profitability.
He is credited with coming up with the idea for Twitter when eventual co-founder Evan Williams gave workers at blogging startup Odeo two weeks to work on fun new projects as a way to break up their daily routine.
He returned as interim chief executive after then-CEO Dick Costolo resigned last June, and took the job on a permanent basis in October, as Twitter deals with persistent concerns over its growth prospects.
Twitter stock recently hit a new record low and the number of users has been increasing more slowly than the company would like.
At the end of September, it had 320 million active users -- four million more than three months earlier.