At the end of the upcoming season, the 31-year-old right-hander can void the final three years of his contract and become a free agent.
"I've thought about it some," Greinke said.
Though often candid, he declined to reveal his thoughts on the subject.
"Maybe it's just a question that you guys ask me because I answer some questions I shouldn't, but it seems to be a pretty obvious thing that it's something that you don't talk about," he said. "The teams have options all the time. They don't comment before the season ends if they're going to accept or decline a player's contract.
"You're always weighing things as they go, and no one's going to accept before they need to or decline a contract before they need to because so many things can happen. So I won't have any answers until the season's over."
The final three years of his current deal are worth a guaranteed $71 million.
That's far less than what some of this year's top free-agent pitchers were able to secure. Max Scherzer signed a seven-year, $210-million contract with the Washington Nationals, and Jon Lester a six-year, $155-million deal with the Chicago Cubs.
Greinke said the Dodgers haven't talked to him about extending his contract. Asked whether he would be open to negotiating a new deal before his opt-out date, Greinke replied, "That's another one that's kind of annoying that you all write about.
"Everyone's always open to signing a contract if the contract is right. Clayton [Kershaw] will listen to extending his contract now, even though he's got six more years. Yeah, I'm open to it. But I mean, they're open to me taking a cheap deal, also."
Andrew Friedman, the Dodgers president of baseball operations, declined to say whether the team plans to approach Greinke.
The Dodgers are confident that closer Kenley Jansen won't develop chronic foot problems. The right-hander underwent surgery Tuesday to remove a growth on his left foot and is expected to be sidelined for eight to 12 weeks.
"Pretty certain that this is the extent of it," Friedman said.
Friedman called the procedure a "preventative step" and said the team considered permitting Jansen to pitch through the discomfort in his foot. But doing so would have exposed Jansen to the risk of developing a stress reaction.
"Had it happened, he would have missed significantly more time than the eight to 12 weeks," Friedman said.
Jansen is expected to miss the first month of the regular season, and Friedman said the Dodgers would most likely replace him internally or through a trade.
The only pitcher or catcher who didn't report to camp Thursday was Jansen, who is expected to be at Camelback Ranch later this week. … Position players aren't scheduled to report until Tuesday, but several of them already did, including Yasiel Puig and top prospect Corey Seager. … SportsNet LA, which is still unavailable to most Los Angeles-area households, will televise 31 of the Dodgers' spring-training games, counting three Freeway Series games against the Angels. Vin Scully has committed to calling four spring games.