The Spanish giants were in for a left-back this summer to provide back-up for first-choice Jordi Alba.
But they missed out on a list of targets that was believed to include Juan Bernat and Ferland Mendy.
Spanish news-site Mundo Deportivo claims, the Catalan club have switched their attention to Anfield and their out-of-favour left-back.
Moreno has found game-time almost impossible so far this season, having appeared only once, in the EFL Cup defeat to Chelsea.
And Barca will be confident of landing the 26-year-old, who is out of contract in the summer.
The website reports that Valencia's Jose Luis Gaya and Athletic Bilbao's Yuri Berchiche are other options being considered.
Mendy, currently plying his trade in the French League with Lyon, remains the top target, however.
Liverpool paid £12million to bring in Moreno back in 2014 from Sevilla, but he has failed to make the left-back spot his own and they could be tempted for a fee in January.
Last season Jurgen Klopp used James Milner there, and this campaign Andy Robertson has sparkled.
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