However, Allegri is keen to boost his ranks further in the next two weeks.
"We need two more signings, but they have to be quality signings. We need a defender and a striker," he told La Gazzetta dello Sport.
"It's useless to give names as acquisitions depend on who you can bring in and who is on the market. We have little time to act and we must choose carefully. We cannot afford to make any mistakes regarding these two signings."
Juventus start the defence of their Serie A title on August 30 when they make the trip to Chievo.