Both De Rossi and Totti are held in high regard amongst the Giallorossi faithful for their unwavering loyalty to the club, having spent their entire careers at the Stadio Olimpico.
However, Totti's future has come under scrutiny following new coach Luis Enrique's summer rebuidling plans, with some suggesting the Italian international is no longer guaranteed a first-team place.
This has led many to believe that Totti could be forced to reassess his future should he not get regular game time under Enrique, but De Rossi is adamant that both coach and captain have important roles to play for the club.
"Totti is a treasure for Roma, [he] is the greatest player of all time after [Roberto] Baggio, but Luis Enrique is a good thing also, [and] is a young coach who is offensive and loyal," De Rossi told Il Corriere dello Sport.
Totti is not the only favourite son of Roma whose future is up in the air, especially with recent reports linking De Rossi with a move to Manchester City, coupled with his ongoing refusal to pen a new contract with the club.
However, De Rossi insists he wants to stay at the Olimpico, and is willing to enter contract talks.
"They [Roma] want to keep me [and] I want to stay, but we need to negotiate."
De Rossi has turned out for the Giallorossi 357 times since his debut in 2001, while Totti has made 612 appearances for Roma, scoring 262 goals in the process.