The 24-year-old was linked with a move away from Bruno Lage's side over the summer, but the transfer deadline passed with the midfielder still at Molineux.
Neves has again been in impressive form for Wolves this season, making 19 appearances in all competitions, contributing one goal and one assist in the process.
The midfielder still has two-and-a-half years left to run on his deal, but there remains speculation surrounding his future, with Arsenal believed to be long-term admirers.
According to The Sun, top-four chasing Man United are keen to bring the Portugal international to Old Trafford before the winter transfer window closes for business.
The report claims that the Red Devils could make an offer in the region of £35m, although Wolves value the midfielder in excess of £40m.
Neves has made 195 appearances for his current side since arriving from Porto in the summer of 2017, contributing 21 goals and 11 assists in the process. body check tags ::