The Spanish giants are confident the France midfielder will push to get a transfer through.
Zinedine Zidane has persuaded Bernabeu top brass to abandon interest in Tottenham’s Christian Eriksen and focus on landing Pogba instead.
United don’t want to sell their prized asset, who joined from Juventus for a Premier League record £89m in 2016.
But despite the Manchester club’s belief that he’s not going anywhere, Starsport understand Real are confident he’ll demand a switch.
One issue for the European giants could be financing the deal.
Real have already earmarked around £200m for the transfers of Eder Militao, Luka Jovic, Ferland Mendy and Eden Hazard.
And with Pogba likely to cost more than £130m, Madrid may need to sell before they can buy again.
His wages of £300k-a-week may also prove tricky for Real.
Earlier this year Pogba admitted playing for the Madrid side would be a dream come true.
“At the moment I’m happy in Manchester. I play. There’s a new coach,” he said.
“(But) Real Madrid is one of the biggest clubs in the world.
“I’ve always said it is a dream club for every player.”
United boss Ole Gunnar Solskjaer said in April that he expected Pogba to still be at the club next season.
“I think he will be here next season,” said Solskjaer.
“Paul has done fantastic for us. We want him to do well. He is a leader in the dressing room.
“If I could guarantee I would say yes. You can’t guarantee but I think he will be.”