Spanish newspaper El Confidencial reports that Liverpool have reached an agreement with Moreno over a five-year contract. Sevilla and Liverpool just have to finalise the terms of the transfer fee and the Reds will have their third capture of the summer window.
Rodgers has already agreed deals for Rickie Lambert and Bayer Leverkusen midfielder Emre Can.
And Moreno, who plays as a left-back, looks set to become the latest Liverpool addition as they look to bolster their squad ahead of a season of Champions League football next term.
Left-back was a problem area for Brendan Rodgers last season, with right-back Jon Flanagan often forced to deputise in the position. He did an excellent job, and was named in Roy Hodgson's provisional England squad for the World Cup.
But Rodgers always intended to target the position as one to strengthen, and he's moved aggressively to tie up a deal for Moreno, who is rated as one of the best young defenders in La Liga.
He was part of Spain's initial World Cup party, but dropped out as Vicente Del Bosque trimmed his squad down to 23 players.