Estadio Deportivo reports that United are keen to bring in the 21-year-old as a replacement for left-back Patrice Evra.
United have reportedly joined the likes of Real Madrid and Chelsea in the race to sign Spain international.
Sevilla president Jose Maria del Nido is reportedly not interested in selling Moreno unless someone meets his £25million release clause.
United have also recently been strongly linked with a move for Porto pair Eliaquim Mangala and Nicolas Otamendi.
Patrice Evra could leave United when his contract expires at the end of the season.
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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?