The Reds and City are among those teams that have been linked to an attempt to lure him away from Naples, as the Senegalese international faces the risk of pushing back all potential contenders with a considerable sum of money.
And while he thinks City could attract Koulibaly more, Barnes thinks the defender would be better suited to Anfield.
“If Manchester City offers Koulibaly double the salary, then it will go to Manchester City,” Barnes told BonusCodeBets.co.uk.
“The idea that Liverpool is the champion and that means he will go to them, that is not the case. Liverpool is an attractive proposition, as attractive as anyone else, whether they are more attractive than Barcelona or Manchester City, I don’t think that is necessarily true.
“What can happen is that his type of football can suit Liverpool. I don’t think it’s suitable for the type of football that Manchester City plays.
“Liverpool are always looking to improve the players and you will always be linked to the players if you are a big club, and now is a good time to buy when you are at the top. ”
“I don’t think there will be a lot of signings in Liverpool. If there is a signature that they think will improve them, they will, but it is no different from any other club.
“Liverpool will not break the bank to sign anyone, the type of player Liverpool wants will not be a Neymar or Messi for whom you may need to break the bank, so they can get the players they want but they won’t have to break the bank for him. ”
Barnes also believes that Koulibaly’s arrival in Liverpool would have a great effect on Gomez and could help the 23-year-old as he continues his development.
“Koulibaly is a very good player and you are watching Joe Gomez go by and he could help him, Koulibaly is already the finished article, so if they get it, it would be a good signing for them.
“If they don’t get it, well they’re still 25 points better than any other team, so as long as they don’t lose players, I don’t think there’s necessarily a reason to go out and make a name signatures.
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“Yes, they signed Minamino and maybe they can sign with some players who are not going to go directly to the first team, but I don’t think they necessarily need it.
“When you are a big club, you will always be linked to the players, if you cannot bear this pressure, you should not be at the club.
“Joe Gomez is a good player and if Koulibaly comes, if he will play in front of him we don’t know.
“He should be up to this challenge in a big club that is always looking for big names, if you don’t measure up, you won’t survive. “