Jurgen Klopp is a fan of the Spain international and is plotting to sign Thiago as a replacement for Georginio Wijnaldum.
The midfielder’s future remains up in the air as Liverpool look to lure the 29-year-old away from the Allianz Arena.
Liverpool are still looking to sign Thiago Alcantara from Bayern Munich and the midfielder has been given some extra time off as his team-mates undergo coronavirus testing
And Thiago would be a readymade successor to the Dutch ace at Anfield.
Thiago Alcantara will not take part in Covid-19 testing with his Bayern Munich team-mates today as he has been granted extra time off.
Former Netherlands manager Ronald Koeman wants to link back up with Wijnaldum at Barcelona.
Liverpool are reluctant to meet that figure at this stage, but further signs show a move could be edging closer.
But with less than 12 months remaining ob his contract, Bayern are willing to sell for a fee of around £27m.
The Bayern star has maintained he is not in talks with another team over a transfer and has not informed the club of his desire to go.
Bayern have opted to give him a few more days off while his future is sorted, and there could subsequently be real progress this week over a potential switch.
While the Champions League winners are checked for coronavirus ahead of the new Bundesliga season, Thiago has been excused.
Italian journalist Fabrizio Romano has confirmed Thiago will not be present at Bayern’s training centre for medical tests today.
It is said Liverpool are still pushing to land Thiago, who has also been linked with a return to Barcelona, but Koeman is pushing for Wijnaldum instead.
Meanwhile, Manchester United have contacted Thiago’s agent in recent days, but they have not started any official talks with Bayern.
Liverpool know Wijnaldum may end up at the Nou Camp, with his contract on Merseyside running down too.