The factory test rider, who is entered as a wild card, lost control at the end of the main 350kph straight at the Mugello circuit and was thrown off the bike with the session brought to a halt.
He was confirmed as conscious, after being treated by doctors as he lay in the gravel, and transferred to hospital in nearby Florence.
Italian media reports said he would be kept under observation overnight but had not suffered any broken bones or serious injury.
Ducati sporting director Paolo Ciabatti told the Gazzetta dello Sport that Pirro could not recall the crash but was talking.
(Reporting by Alan Baldwin in London, editing by Ken Ferris)
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