The Italy international believes victory over the reigning champions at San Siro on Sunday will provide a timely boost for an improving Rossoneri
A difficult first-half to the season culminated in the dismissal of former coach Massimiliano Allegri, who was replaced by Clarence Seedorf in January.
The Rossoneri have won four of their six Serie A games since the Dutchman’s arrival and Montolivo believes victory over the reigning champions will give Milan a timely boost.
"A win against a big team is needed,” he told Milan Channel. "Regardless of the adversary, the growth [with a new 4-2-3-1 system] has been evident, in terms of balance most of all.
"Obviously if we defend better then we attack better and results come. We’ve seen this in the last few games and, in this sense, Juventus will be a good test to consolidate this growth."
Antonio Conte’s side have claimed back-to-back Serie A titles, sit nine points ahead of second-placed Roma going into the weekend and are unbeaten in 17 league games, but Montolivo believes his side have what it takes to halt the Old Lady.
"We have to be ready, we have to climb back up the table to create enthusiasm and self-esteem. We have the quality to cause Juventus problems," he said.
"It’s not definite that we’ll be out of Europe next season. We’re still in the Champions League and we’re fighting for a place in the Europa League. We’ll do everything we can."
Milan sit ninth in Serie A, five points behind rivals Inter who occupy the last Europa League qualification position.