With two games remaining this season, the Italians have already picked up four RaboDirect PRO12 successes this campaign, including the 26-13 win over Edinburgh - their biggest winning margin to date.
Next up are the high-flying Ospreys, who need to keep winning in their battle for a top four finish and a play-off spot.
But with two wins and a draw from their last five games, Cavinato is confident Zebre can maintain their good recent run.
He said: "The work is paying off and we are growing game by game, trying to correct our errors. Our ground, the Stadio XXV Aprile is no longer an easy place to go, every opponent has to know they have to play well to win.
"Last time out against Edinburgh we came up against a very physical side that we had to contain and stand up to decisively. We used the ball well and the attack worked. Our aim is to improve in every game and create a Zebre style of rugby: with a team that no longer relies on individual exploits, but instead on the collective game.
"We're excited for the end of the season, now we've had a few extra days to prepare for the game against the Ospreys. It will be a great test for us to show our true worth against a quality opponent that will be motivated by the fight to reach the play-offs in the RaboDirect PRO12."
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Guinness PRO12
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Ballsbridge, Dublin 4, Ireland