For whatever reason, Suleiman decides the Austrians can wait and Venice is the bigger threat.
So he spends the next few years taking Cyprus, Crete, and wiping out Venice.
What does "wiping out" Venice mean? An assault on Venice is rather difficult. Suleiman may take Cyprus and Crete, take some harbours in Apulia to block the Adriatic, and repeatedly raid the Terra Ferma, though. Thus, he may break Venetian power and economy.
Nevertheless, supply lines to Venice overland are as long and difficult as to Vienna. And the Ottomans would probably face the same enemies in Italy they faced in Vienna.
Finally, on thing to remember: the French "supported" the Ottomans as a threat against their Hapsburg foes. That does not imply that they accept Ottoman expansion. Ottoman armies in Verona and maybe even Milan will not go well with the French.