The club will officially open talks with the 28-year-old after the Euros, but initial chat between the parties “have been positive”.
If United can’t agree on a deal with Pogba, the club will sell him off to prevent him going on a free next summer.
Once Pogba returns from the Euros later this summer the contract offer will be presented to him.
The 28-year-old commented last week that his focus was on his country in Euro 2020 and not his contract situation.
‘I have one year left on my contract, everyone knows that,’ Pogba said in a press conference. ‘There have been no concrete proposals for extensions. I’m still in Manchester.
‘After the season there was the vacation, so I didn’t sit down with the managers and coach. I’m focused on the Euro,’ he added.