Wolves paid £ 18 million for Traoré in the summer of 2018, the Spaniard becoming the club’s record transfer transfer at the time.
After struggling in his first season at Molineux, Traoré has become one of the most dangerous offensive players in European football.
Its shape has meant that a number of the biggest clubs in the world have been linked to a movement.
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Man City and Liverpool are slated to be long-term admirers, while reports this week have suggested that Manchester United could launch a bid for Traore, which the Wolves value over £ 100m.
In addition to interest in the Premier League, the La Liga giants, Real Madrid and their former Barcelona club, were credited with interest.
But now, according to the Sun, Liverpool are ready to put him at the top of their transfer wish list, with Jurgen Klopp looking to improve on their pending champions.
However, it is understood that Kop bosses are preparing for a quieter summer window, with the effects of the coronavirus pandemic felt by clubs around the world.
Sky Sports reported last month that the Reds may have a silent window, with suggestions that they may not bring in any players during the summer window.
“I was actually told that Liverpool would not sign anyone in the next window,” said Sky Sports.
“If you asked me in January, I would have been pretty confident that one or two recruits would arrive to immediately reinforce this first team. “
“Since then, things have obviously changed.
“There is a different financial climate due to the impact of the coronavirus and this has naturally had an impact on potential transactions in the transfer market as well. “
The report suggests that Liverpool could not afford it, unless it sold a number of marginal players – or allowed Mohamed Salah to leave.
Klopp has been effusive in his praise for Traore, with the brilliant winger in the two games between the teams this season.
In January, after Liverpool’s spectacular victory at Molineux, he described it as “unplayable”.
“Traore now, when I would say it’s pretty much unplayable,” he said. “I have said it many times and it is still true.
“He is no longer just a winger, he keeps the ball, holds the ball and sets goals, of course.
“It makes it so difficult, every ball you lose is 100% a counter attack and a half goal. “