The defender, who signed a permanent deal to join from Palermo earlier this summer, has already worn the armband throughout United’s pre-season campaign.
Bamba also led the team out on several occasions during his successful loan spell here last term.
Head coach Uwe Rosler said on the club's website: “It’s natural to Sol. He’s been in England and he understands the English culture and mentality of the Championship.
"He’s also been in Italy and speaks several languages and can bridge the gap. He can unify the dressing room. That’s very important.
“It’s a long season and in the Championship you need mentality and morale. Not just over four weeks, but over 10 months in good times and bad times.
“He’s a very important person to achieve that.”