The player, who has a contract with the Bees until June, would be one of the requests of Erik ten Hag, future coach of the Red Devils.
As Manchester United come to the end of a difficult season in which they are close to missing out on a place in the next Champions League, Erik ten Hag, their future manager, already has some requests for the Old Trafford management.
According to the 'Daily Star', Christian Eriksen, who is under contract with Brentford until June, is on the Red Devils' list of possible reinforcements for next season at the express request of the Dutch manager.
Following his return to football due to heart problems, the Danish midfielder has made seven appearances for the Bees, scoring one goal and providing two assists. His most recent appearance came in a 0-0 draw at home to Tottenham, one of his former clubs.