Man United captain Antonio Valencia is leaving on a free transfer at the end of the month, making the armband up for grabs.
Ashley Young, who wore the armband for the most part of last season, is in line to take over from Valencia as club captain but with Solskjaer looking to sign a new right-back this summer, the ex-England international is likely to have to settle for a place on the bench.
Sources have told ESPN FC that Pogba is one of the names in the frame and Solskjaer is hopeful that handing the 26-year-old more responsibility will help end speculation over his future.
The Frenchman is open to a move away from United this summer after Solskjaer’s side finished sixth in the Premier League table, missing out on a place in next season’s Champions League.
Naija News recalls that former United manager Jose Mourinho had stripped Pogba of his deputy captain duties following a burst up between the pair.