The Red Devils are believed to have already held talks with the player, according to Don Balon.
Pogba is into the last 11 months of his current contract at Old Trafford.
The World Cup winner, who is attracting attention from Real Madrid and Paris Saint-Germain, is widely expected to leave United as a free agent next summer.
United manager, Ole Gunnar Solskjaer, is planning for a future without him and looking around for potential replacements.
Moriba also has less than a year left to run on his contract and it would not cost much to sign him now.
Indeed, they are reported to have held talks with Moriba's agents over a potential move. And while a move looks more likely next summer, financial pressures could enforce a €25m (£21.2m) sale this summer.
Moriba has made 18 appearances for Barca, including one in the Champions League. He has one LaLiga goal to his name so far.
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