Brazil play Switzerland next Sunday in their World Cup opener.
Neymar started for the first time since recovering from a foot injury that kept him out for three months.
There were brief fears for Neymar early on when Austria captain Julian Baumgartlinger trod on his ankle.
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Second place, however, is up for grabs with Serbia looking the most likely, especially given they may benefit from the fact they are likely to face a Brazil team already through after the first two rounds of matches.
Six minutes later, Selecao bagged a third goal as Coutinho played a neat one-two with Roberto Firmino before placing the ball beyond a helpless Lindner.
Firmino's all-round game is perhaps more in keeping with Brazil's footballing ethos, but what this current side really calls out for is a pure goalscorer and Jesus more than fits the bill.
After a quiet start to the second half, Brazil doubled their lead in the 62nd minute as Neymar skillfully skipped past a defender before calmly slotting into the bottom corner. "When we release him in the last third of the field, he's lethal".
On Sunday, those in a bitterly divided land may put their differences to one side and finally unite in order to get behind a team reimagined under Tite and with a genuine chance of going all the way in Russian Federation. The Brazilian figure dropped from 72 per cent in 2013, the year before the country hosted the World Cup.
However, when Tite took over as manager in August 2016, his plan was to rehabilitate Brazil's much-maligned 2014 World Cup captain.
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Austria, unbeaten in their last eight games and winners over Germany one week ago, proved uncomfortable opponents and had nothing to lose in front of a capacity 48,500 crowd, having failed to qualify for the 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.