The 473-tonne vessel sank near the small port of Porticello last August, killing seven people.
The operation to raise it is highly complicated.
It was initially due to start on Sunday.
Despite being marketed as "unsinkable," the 56-metre yacht went down during a storm, sparking ongoing speculation about the circumstances of the disaster.
Among the victims were British software billionaire Mike Lynch, 59, his 18-year-old daughter, two couples who were friends of the family and the ship's cook.
All other crew members survived.
The Bayesian, reportedly valued in the tens of millions of dollars, was one of the largest sailing yachts in the world, boasting a 75-metre mast, which will remain on the seabed.
Prosecutors hope the salvage will shed light on what caused the yacht to sink.
The Bayesian's New Zealand captain and two other crew members are under investigation for allegedly ignoring storm warnings and abandoning passengers in the panic.
However, investigators are also exploring whether the Italian manufacturer bears some responsibility for the vessel's failure.
The yacht was built 17 years ago by the Perini Navi shipyard, which has since been acquired by the publicly listed Sea Group.
The area around the wreck is to be closed off to shipping for the salvage operation.