The 34-year-old has recently returned from injury to feature in his side's last two matches against Aston Villa and Villarreal respectively, but he could struggle for starts due to Cristiano Ronaldo's arrival over the summer.
Cavani is due to spend the rest of the campaign at Old Trafford before leaving on a free transfer, but there have been suggestions that the Uruguay international could seek a move at the start of 2022.
According to El Nacional, Cavani is also attracting the attention of Real Madrid, who are weighing up a move for the South American during the January transfer window.
The striker was given the final 10 minutes of Man United's Premier League clash with Aston Villa last weekend before featuring for the last 15 minutes against Villarreal in the Champions League on Wednesday.
Cavani has scored 17 times and registered six assists in 42 appearances for the Red Devils.