Pogba will wear the armband in the absence of club captain Michael Carrick, who is on the bench, while Lindelof will play his first match for the club - aside from the European Super Cup - following his £31 million move from Benfica.
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Martial gets the nod ahead of Marcus Rashford, while Ashley Young will be playing at right back.
United are back in the top flight of European football after winning the Europa League last season.
Manchester United: De Gea, Young, Smalling, Lindelof, Blind, Matic, Pogba, Mata, Mkhitaryan, Martial, Lukaku Subs: Romero, Darmian, Valencia, Carrick, Fellaini, Lingard, Rashford
Basel: Vaclik; Akanji, Suchy (c), Balanta; Lang, Xhaka, Zuffi, Riveros; Steffen, Van Wolfswinkel, Elyounoussi Subs: TBA
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