The Chelsea star has been heavily linked with a move to the Red Devils this summer.
Starsport understands Jose Mourinho is a big admirer of the Serbia international and wants to reunite with the 28-year-old.
Matic is also said to be keen on a move to Old Trafford.
Reports today claimed United hope to complete a £40m deal for Matic next week.
However, the Daily Mail say Conte wants a new signing before letting the former Benfica man go.
They say the Chelsea boss wants another midfielder to partner N'Golo Kante and Tiemoue Bakayoko this season at Stamford Bridge.
Matic was left in London and didn't travel with the Blues squad for their pre-season tour of Asia earlier this month.
Mourinho is desperate to land a holding midfielder this summer with Champions League football returning to Old Trafford next season.
United have been heavily linked with Matic and Tottenham star Eric Dier in recent months.
The Red Devils have already landed Romelu Lukaku and Victor Lindelof.
