The Italian believes the Giallorossi must seize their last opportunity to make something of their season in Sunday's cup final
Europa League qualification is up for grabs for Sunday's winner, with the Giallorossi finishing sixth and Vladimir Petkovic's men seventh at the end of the Serie A season.
"There is a double victory up for grabs, both the cup victory and qualification to the Europa League next term," Andreazzoli told reporters. "The derby always has special significance.
"I know I have the opportunity to enter Roma's history books, as not everyone has won their club a 10th Coppa Italia title before. Winning would be important, but I do not feel enslaved to a result.
And after a sixth-placed finish in the league, Andreazzoli insists his men are not feeling any nerves.
"If we win it, we would be talking about a glamorous season, but if we lose, we cannot call this season a failure," he continued.
"Lazio is our opponent and will compete, so the prospects of defeat are always open. Sport is like that. Despite that, I have not seen any tension from the players, who the club must be grateful to for all they have done.
"This is a high-profile match and we can achieve two objectives of our season with one stroke. A victory tomorrow would be a fantastic one."
Andreazzoli's bid to become permanent Roma boss will be given a considerable boost with victory, as rumours continue to link the club with a move for AC Milan coach Massimiliano Allegri.