Pucovski played in Victoria's first Sheffield Shield game of the season against Western Australia earlier this month, but has not been named in the Victoria side that will face Tasmania on Saturday after requesting for - and being granted - leave.
The arrangement is understood to be similar to that of Meg Lanning. Pucovski's leave is indefinite with no timeframe on when he is likely to return.
Cricket Victoria released a statement saying they will continue to provide all necessary support to Will and ask that his privacy be respected during this time.
"Player welfare is always our top priority," Cricket Victoria's General Manager of Cricket Performance Graham Manou said. "We'll continue to work with Will to ensure he gets the support and space he needs and welcome him back when he's ready."
Pucovski, 24, has taken leave from Victoria for personal reasons several times in his short career. These have been separate from his absences because of concussion and concussion-related issues.
More to follow…