Story highlights Hillary Clinton said Thursday she would debate Bernie Sanders in New Hampshire next week

But she didn't specifically say whether she would agree to the three more debates that the Vermont senator is seeking

(CNN) Hillary Clinton said Thursday she would debate Bernie Sanders in New Hampshire next week -- but didn't specifically say whether she would agree to the three more debates that the Vermont senator is seeking.

"We have another one shortly after New Hampshire on the calendar, and I've said we should start looking for dates to get one scheduled. I'm perfectly fine with that," Clinton told CNN's Wolf Blitzer on "The Situation Room." "But first things first: We have to agree that we're going to debate in New Hampshire. Both (former Maryland Gov. Martin O'Malley) and I have agreed and we're waiting for the senator to decide to join us."

Earlier Thursday, Clinton spokesman Brian Fallon said the campaign was "glad that Senator Sanders has changed his mind about a debate next week in New Hampshire."

"We have always been willing to add additional debates beyond the six that had been scheduled and look forward to starting discussions on scheduling debates in April and May," Fallon added.

The comments are the latest in an ongoing back-and-forth between the Sanders and Clinton campaigns over a proposal that would add a previously unscheduled debate ahead of New Hampshire's first-in-the-nation primary on February 9.

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