The 24-year-old has been regularly tracked by the reigning Barclays Premier League champions, and now Spanish radio station Cadena Ser is reporting that the Red Devils are stepping up their interest.
With the transfer window deadline fast approaching, Sir Alex Ferguson is weighing up an attempt to bring Garcia to Old Trafford, as he looks to strengthen his midfield department with the club currently suffering an injury crisis in that area.
Garcia is a product of Real Madrid's youth academy, but failed to make the grade at the Bernabeu before leaving for Osasuna in 2007. After a brief return to the La Liga giants, the defensive midfielder joined Benfica in 2009.
Under contract at the Estadio da Luz until 2014, the Lisbon-based outfit are keen to keep hold of Garcia, but know that his reluctance to pen a new deal means that his value will only decrease in the future.
Manchester United have attempted to resolve their midfield problems by ushering Paul Scholes out of retirement until the end of the current campaign. But that move can only be regarded as a short-term measure, as Ferguson looks to maintain the club's stranglehold at the top end of the table.