The news of a possible extension was first reported by WEEI.com and Yahoo! Sports.
Pedroia, who went 1-for-4 in Boston's 4-2 win over the Yankees on Friday, didn't think it was his place to characterize the state of the negotiations.
"I just leave my agent and the Red Sox to deal with that," Pedroia said. "My job is to come in here, play baseball and try to help the Red Sox win games. I don't have anything for you right now."
The Red Sox and Pedroia's lead agents -- Seth and Sam Levinsohn -- declined comment.
However, Pedroia again reiterated how much it would mean to him to stay in a Boston uniform for many more years, if not his entire career.
"That's great to think about," Pedroia said. "[Staying in one place is] hard to happen. This is all I know. These guys are my family. Everybody. If it got to that point, it would be great."
At 29, the second baseman still seems to be coming into his own, as he entered play against the Yankees on Friday with a .396 on-base percentage, the highest of his career.
Speaking on WEEI on Thursday, Red Sox principal owner John Henry said the team is weary of giving out long-term deals, but would be more inclined to do so with players within the organization.
"You have to look at every situation, every player differently," Henry said. "Dustin Pedroia, completely different player. Dustin would be different than going out into a free-agent market and signing someone."
Meanwhile, Pedroia will just keep trying to help the Red Sox stay in first place.
"I'm just focused on trying to help us win baseball games. That's what I'm trying to do," Pedroia said.
Ian Browne is a reporter for MLB.com. Read his blog, Brownie Points, and follow him on Twitter @IanMBrowne. Jason Mastrodonato is a reporter for MLB.com. Follow him on Twitter @jmastrodonato. This story was not subject to the approval of Major League Baseball or its clubs.