That's according to an exclusive from Colin Mafham of the Express, who reported Neymar Senior "has told his son he needs to move to England—and he hinted that Old Trafford would be the best bet."
He reportedly believes striking out on his own in the Premier League would see him move out of Lionel Messi's considerable shadow and allow him to become the best player in the world.
In light of the reported advice given to Neymar, United boss Jose Mourinho could be set to make Neymar his top transfer target ahead of Atletico Madrid's Antoine Griezmann, but he's likely to face stiff competition from City counterpart Pep Guardiola.
The Brazilian has enjoyed an excellent season at the Camp Nou and has notched 19 goals and 25 assists in all competitions.
Neymar is already a supreme dribbler, but football journalist Rafael Hernandez believes he has got even better recently:
Squawka Football demonstrated his success in running at opposition defenders this season:
United have fallen away from Europe's elite—particularly Barca, Real Madrid and Bayern Munich—since Sir Alex Ferguson's retirement in 2013, but the capture of a player of Neymar's calibre would put them firmly back on track to joining them once again.
The Red Devils especially have use for a player with Neymar's pace, creativity, technique and finishing skills.
Per Squawka Football, the 25-year-old already compares well with some of the world's best goalscorers at his age:
Neymar would be an incredible signing, but he has a deal with Barcelona until 2021. Landing him will be extremely difficult and costly—potentially to the tune of far more than £100 million.
Spurs boss Mauricio Pochettino managed Shaw at Southampton and, according to Fissler, wanted him last summer. United rejected the proposal, but the Manchester outfit have come around to the idea of letting him go.
United have looked strong at right-back this season thanks to Antonio Valencia, per football writer Liam Canning:
However, the Ecuador international will be 32 this summer, while Walker is in his prime. Bleacher Report's Sam Tighe is a huge admirer:
Shaw, 21, has played just 47 games for United in three years because of injury troubles, but he has real potential. However, Spurs are already well-stocked at left-back, with Danny Rose long established and Ben Davies shining as a viable alternative.
As such, Tottenham may have little use for Shaw for the foreseeable future, and his inclusion in a deal for Walker may not give United the advantage they'll be hoping for.