The point guard, who missed all of last season while recovering from an ACL injury, scored 12 points during the 107-95 defeat to the Miami Heat earlier this week.
Pippen, who had two stints with the Bulls, told the team's website: "Derrick has a serious injury behind him now but the rehabilitation in a way never ends, especially when you want to play at a high level and be the best. I think it will help as he continues to mature and understand what is most important to him.
"I expect this to be an MVP-type of year for Derrick because I think he has a bit of a chip on his shoulder after missing a whole season and dealing with everything.
"He wants to prove that his judgment was the right one. And I don't think anyone can disagree with him at this point. I think he's come back a lot stronger physically and mentally. He's also better off in terms of understanding what he has to do moving forward."
Rose was named MVP for the 2010-11 season, when he averaged 25 points per game for Chicago.