Facing a race to be fit for Brazil's World Cup opener against Switzerland on June 17, Neymar will get a chance to use Sunday's clash at Anfield to show he is ready to lead the five-time world champions in Russian Federation.
Coutinho, who completed a £142m move to Barcelona in January, will line-up for Brazil in a World Cup warm-up friendly against Croatia.
Neymar marked his return from injury with the first goal in Brazil's win over Croatia at Anfield.More news: Family stunned after jury awards 4 cents in dad's death by cop
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The Brazilian injured the same foot playing for Paris Saint-Germain and underwent surgery in Brazil in early March.
Tite said Neymar must be "a protagonist" for his country but added that the others players must also step up. Neymar is going to be just fine this summer.
After a low-key opening in the Liverpool sunshine, Brazil fashioned the first chance when Gabriel Jesus, captaining the side, led a counter-attack that ended when Willian's flick was scrambled away.
Defender Dejan Lovren had the best chance to open in a header that grazed Brazil goalkeeper Alisson's right post after a corner.
Croatia set up in a 4-4-2 formation and overran the Brazilian midfield trio of Fernandinho, Casemiro and Paulinho. "Today I have the opportunity to wear a very special shirt and the coach has made it clear that I am a leader of tomorrow".