"I've read (the rumours) in the papers but that is true," Van Gaal told a news conference when asked if Darmian was on his way to the Premier League club for a medical.
The 25-year-old, who started all Italy's matches at last year's World Cup in Brazil, can play across the defence and United have reportedly agreed a 12.9 million pound transfer fee with Torino.
Darmian would become United's second signing of the close season after Netherlands international Memphis Depay joined from PSV Eindhoven for a fee reported to be around 30 million euros.
"I'm very excited, we'll face this new adventure," Darmian told Sky Sports Italia on Friday.
"It's a dream, I'm superstitious so I won't say anything until the signatures (are signed), let's wait."
(Reporting By Michael Hann, editing by Alan Baldwin)
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