There were great concerns in Brazil as star player Neymar suffered an injury to his right foot in February, with many fearing he will not be in fit in time for the World Cup finals in Russian Federation.
Selecao eventually broke the deadlock with 10 minutes remaining in the first-half, with Gabriel Jesus slotting into the far corner from a tight angle.
Six minutes later, substitute Roberto Firmino set Coutinho clear down the left and he curled his shot wide of Lindner in for the third. He stayed on for nearly the entire game, being replaced in the 84th by Douglas Costa.
Neymar admitted last month that he faced the biggest challenge of his career as he looked to prove his fitness ahead of the World Cup.
"I wanted to pay homage to him in some way because he is an idol. In the end I thought it might be getting too much for him so I took him off".More news: Anthony Bourdain's mother says his body is stuck in France
Neymar wasn't happy with Austria's "UFC" tactics. The world's most expensive player came back from a broken metatarsal last weekend to rifle in a game-sealing goal in the 2-0 win over Croatia at Anfield.
Coutinho nearly got his second and Brazil's fourth in the 73rd minute but his curling strike from distance rattled the upright with Linder well beaten. Similar fouls were committed by Florian Grillitsch in the 35th and Sebatian Proedl in the 53rd.
More pain for Neymar.
Costa's return was also good news for Tite.
According to the bookmakers, Brazil are the favourites for the 2018 World Cup.More news: Robert De Niro apologizes to Canadians for Donald Trump’s behaviour
"He still feels pain. this type of injury needs a recovery period of three weeks before going back to the field", he said.
If Tite maintains the more attacking formation, the Manchester City man will have to mind the spaces created up front but he did slot into the team more easily than perhaps even Tite might have imagined. Brazil, if not the favorite, is one of the two or three favorites to lift the World Cup trophy on July 15.
Tite, who also said he would confirm his starting XI for Brazil's World Cup opener against Switzerland on Thursday, was pleased with his team's performance with a week left to prepare.
Which team are you supporting in the 2018 World Cup? It saw a seven-match winning streak, including victories over World Cup host Russian Federation and world champion Germany, come to an end.More news: North Korea gets first dose of Trump summit news