None of Juventus' strikers managed to cross the 10-goal mark last season and their joint-top scorer was actually midfielder Claudio Marchisio, who netted ten in the last campaign.
The Bianconeri have been heavily linked with several top strikers like Edinson Cavani, Stevan Jovetic and Robin van Persie previously but none of the interest turned into anything concrete.
Deschamps, who won the Champions League with Juventus in 1995 as a player, believes that their lack of firepower could cost them, especially with the other remaining teams boasting a stable of top strikers.
"All the great teams need a real top striker in order to win in Europe. My Juventus had attackers like [Gianluca] Vialli and [Alessandro] Del Piero, while strikers such as [Christian] Vieri and [Filippo] Inzaghi scored a lot as well," Deschamps told Tuttosport.
"Manchester United now have [Robin] van Persie, Real Madrid have Cristiano Ronaldo, and Bayern Munich have [Mario] Gomez and [Mario] Mandzukic. That's the situation at the big teams.
"These are attackers who can be decisive for the team. When the team is in trouble, they can make the difference and turn a scoreless draw into a 1-0 win."
Juventus are through to the quarter finals of the Champions League and will know their next opponents in Friday's Champions League draw.