Coutinho, 24, has flourished with Brazil since the appointment of Tite, who has guided the Selecao to eight wins from eight matches and already secured qualification to next summer's World Cup in his brief spell in charge.
'Coutinho could play that role.
"I do not want to be pretentious about Barcelona, but who would not want a player like Coutinho, with his magic, his ability to invent and create, to change the rhythm and to build play? He is the ideal player for Barça", Tite said.
Coutinho was vital in securing a Champions League spot for his side and his global coach thinks Barcelona should be looking at signing him. "There was one goal [for Brazil against Paraguay] they were brilliant for, Neymar on the left, Coutinho coming in to the middle".
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On where the Liverpool player could operate for Barcelona, Tite said: "I'm always talking hypothetically, make that clear".
Phil has a five-year contract and Liverpool are under no financial constraints in which we'd have to accept a whopping bid - even a world-record one.
"At Liverpool, Coutinho is on the left, but the important thing is that he has the same role as with the national team".
With Sadio Mané to return fit next season after a knee injury ruled him out for the last few weeks of the season and Roberto Firmino fit and talented as ever, Klopp will be keen to keep his attackers together.
Barca's attack now comprises Neymar, Lionel Messi and Luis Suarez so it's not immediately clear where Coutinho would fit in from the off, but Tite envisages him fulfilling a deeper role. Of course, there will be doubts.