The Spanish newspaper also reports that the former Valencia forward will be allowed to leave for £10 million in the summer if he cannot complete a move away from the Nou Camp in the winter window.
Villa has fallen out of favour at the Nou Camp and hasn’t completed a full 90 minutes since returning from breaking his leg in the Club World Cup final last year.
According to Marca, Villa is unhappy with his lack of chances and sees his future away from Barcelona. The £40 million signing in 2009 is said to open to move in January, with Spurs and Liverpool said to be amongst a host of clubs vying for his signature.
Both Tottenham and Liverpool look short of options in attack and could be ready to make a move for the 31-year-old in January or at the end of the season.
Liverpool appear close to landing Chelsea forward Daniel Sturridge but could still look to add options in attack in January given that Luis Suarez and the injured Fabio Borini represent their only options up front.
Tottenham meanwhile have only Jermain Defoe and Emmanuel Adebayor to lead the line at White Hart Lane, with the Togolese striker currently struggling with injury.
Both Spurs and Liverpool could move to sign Villa in the new year or at the end of the current campaign, although his high wages could prove prohibitive for both clubs.