Democratic presidential front-runner Hillary Clinton claims to be "considering" accepting an invite to debate rival Bernie Sanders on Fox News just ahead of California's June 7 primary.

"You know, I haven't thought about it. We'll consider it," the former secretary of state told NBC News' Chuck Todd in an interview on Sunday. "But I think what's important is we're not going to let — at least, my campaign is not going to let — Donald Trump try to normalize himself in this period."

Asked whether an additional debate on the Democratic side would help presumptive Republican presidential nominee Donald Trump, by allowing Clinton and Sanders to go after each other one last time, Clinton said her main focus is on Trump.

"I've said he was unqualified to be president," she said. "I believe that deeply. I'm going to keep focused on Donald Trump. Because I will be the nominee. I will be running against Donald Trump in the fall," she told Todd.

The Sanders campaign announced Wednesday that the Vermont senator would participate in a Fox News debate in early June, pending the approval of certain requests related to the moderators and format.

"There are issues of enormous importance facing the people of California and our nation and the people of our largest state deserve to hear the Democratic candidates' opinions," Sanders campaign manager Jeff Weaver told The Hill recently.