Since returning from a two-month groin injury in December, he has been a first team regular, playing a key role in their best run of the season.
And that will see the 31-year-old handed a new two-year contract.
And that will keep him at United until 2022, reports The Sun.
Ole Gunnar Solskjaer has singled out Matic's form in recent weeks and when asked about his future, revealed: “He will stay here, yeah, 100 per cent – we have agreed it with him."
His extension caps a fine turnaround, especially after he admitted in January no talks had taken place over a deal.