A spokesperson for Hillary ClintonHillary Rodham ClintonBiden: ‘Guys, I’m not running’ Trump says email hacking during election 'could've been China' or other groups Maxine Waters: ‘I’ve never seen anybody as disgusting or as disrespectful’ as Trump MORE says she is "perfectly willing" to debate Democratic presidential rival Bernie SandersBernie SandersObama makes 0K for speech at A&E event: report Van Jones: Obama should do ‘poverty tour’ Sanders calls for renewed focus on fighting climate change MORE in New York.
"If they can find a mutually agreeable date in the next couple of weeks before New York, I think it could happen," Fallon added.
During a campaign stop in LaCrosse, Wis., on Tuesday, Clinton told reporters she was open to the idea of debating but didn't suggest a date, according to the New York Daily News.
Sanders seized on the apparent openness, saying later on CNN, "Let's do it."
The campaigns have been sparring for days over whether to hold a debate in the coming weeks, with the Sanders campaign issuing a letter over the weekend suggesting Clinton is afraid to debate.
Clinton released a new campaign ad Wednesday aimed squarely at Republican rival Donald TrumpDonald TrumpSeven key players for Trump on immigration Spicer: Media coverage of Trump has not been fair Kasich finds it hard to rule out 2020 MORE in New York ahead of the state's primary.
--This report was updated at 11:32 a.m.