Goal revealed on Wednesday that Jose Mourinho has made the 21-year-old his top transfer target as he hopes to secure a marquee midfielder to partner Nemanja Matic next season.
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"I'm absolutely sure that we'll manage to get him to sign a new contract very soon," he told reporters.
Marotta was also bullish about the possibility of Pogba's midfield partner Arturo Vidal leaving Juventus for Real Madrid this summer, insisting there has been no contact between the clubs.
"Real Madrid showed interest in Vidal, but never made a formal offer," he added.
"We are going to keep our players, as long as they want to stay here."
Turning his attention to transfer targets, Marotta admitted that Juve are keen on Barcelona winger Alexis Sanchez.
"We like him very much but we didn't make any formal move so far," the 57-year-old explained.