Crozier was examined by club and league doctors when he fainted during the Bulldogs' loss to Carlton in round two.
The 28-year-old was substituted out of the match and was soon cleared of any immediate danger.
He has since passed further medical tests but will not play against Sydney at Marvel Stadium on Thursday night.
Bulldogs coach Luke Beveridge said Crozier will instead be on managed minutes in Footscray's VFL clash with the Northern Bullants.
"All the tests haven't shown anything and he feels fine, he wants to play," Beveridge said.
"Our medical staff have cleared him to play but just as a precaution we'll see how he goes.
"We'll play him for three quarters and we'll monitor his game time.
"Hopefully he gets through with flying colours."
Beveridge said it would be "too much of a risk" to pick Crozier against Sydney as the Bulldogs attempt to arrest a worrying 0-2 start to the season.
"We don't want to go in with a player who may need to come out," Beveridge said.
Crozier has played 66 games for the Bulldogs since crossing from Fremantle at the end of 2017.
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