The 22-year-old has struggled with injuries this season, while veteran midfielders Luka Modric and Toni Kroos have been in vintage form for LaLiga’s champions.
Valverde has only started 12 games in all competitions this season, but the Uruguayan has impressed Ole Gunnar Solskjaer enough for United to step up their efforts to bring him to Old Trafford this off-season.
TOP STORY – UNITED EYE VALVERDE TO PLUG MIDFIELD
Valverde has shown his class while featuring in 89 games during his three seasons in the Spanish capital and has turned heads at United.
The Red Devils are said to admire his energy and box-to-box qualities as they seek a long-term solution to lock down a place in the centre of Solskjaer’s midfield, according to The Sun.
One snag in the recruitment drive could be the Uruguay international’s buy-out clause of a staggering £148million, though United can offer him a major improvement on his current £120,000 per week wage.