Willian has admitted he is frustrated with the lack of playing time he has received at Chelsea this season.
But the 29-year-old has insisted he respects the decisions of Blues boss Antonio Conte.
The Brazil international, who joined the club in 2013, became a star under former boss Jose Mourinho, but has fallen down the pecking following the arrival of Conte.
Mourinho failed to persuade Willian to join United in the summer, but Metro says the Red Devils are keen to revive their interest in January.
Speaking to Football Focus, Willian revealed he has been disappointed by the amount of time he has spent on the bench.
"Of course I want to play every game, but I respect every decision because we have great players in the squad, so you have to respect Conte's decision," he said.
"But every player wants to play."
Source: tribalfootball.com