In an interview with Steve Burton at CBS4 Boston, the slugger known as Big Papi said that "It might be time to move on."
Ortiz has one more year left on his deal and at the age of 38 it would seem unlikely for the Red Sox to offer him more than a two-year extension with injury risk playing a large factor.
Big Papi has stated his uncertainty about staying with the Red Sox before but has always remained loyal to the team he has played for since 2003.
Ortiz was crucial to the Red Sox team that won the World Series last year with two home runs in the first two games of the series.
Earlier this off-season regarding Ortiz's possible extension, Red Sox general manager, Ben Cherington said:
"What I can say is that we have incredible respect for David, and as I've said before and I'll reiterate, our hope certainly is that he finishes his career in a Red Sox uniform."
With the huge popularity for Big Papi from fans and players alike in Boston, it seems unlikely that Ortiz will be playing for another MLB team in the years to come.