The Colombia international may benefit from a change of scenery according to the Italian club’s chief Giampaolo Pozzo.
The Colombia international, who has been compared to former Brazil star Ronaldo due to his ability to run with the ball, has been linked with a number of English clubs in recent months.
Liverpool were said to be running the rule over the South American in the summer, while Southampton were also named as a reported suitor last month.
Pozzo has admitted that Muriel could well benefit from a move this month, but suggested it could well only be on loan.
“The transfer window is open until the end of January, we will do something,” the Udinese patron told Mondo Udinese.
“There will be departures and arrivals. As for Muriel, he has blamed a series of injuries and was unable to score.
“I think a change of scenery might benefit him. But it will, if necessary, be an agreement where we say we don’t lose control of him, he’s talented and valuable.”
Injuries have limited the 23-year-old to only five Serie A starts this season, with Muriel yet to score domestically for the Stadio Friuli outfit in 2014/15.
The South American burst onto the scene back in 2012-13, scoring 11 goals in 15 starts, but has failed to replicate such form since.
There is no doubting his ability if fully fit and firing, but Muriel’s capture this month would certainly be a gamble for Premier League suitors.