The 27-year-old defender has been with the club since 2014, when the move from Southampton saw him become the most expensive teenager in history. Shaw's current deal had been due to expire in the summer, only for United to trigger a one-year extension clause to keep him until the end of the 2023-24 season. Contract talks are believed to have progressed well and the England international is now very close to signing the new deal.
The Argentina international joined Paris St Germain in 2021 but his contract expires this summer.
The Reds have taken just 12 points from 13 Premier League games on the road.