CHICAGO — Mayor Rahm Emanuel will appear on “The Tonight Show” with Jimmy Fallon, making good on his promise after the host traveled to Chicago in March and jumped into icy Lake Michigan.

The mayor’s office and NBC officials said Thursday that Emanuel will appear on the show June 3.

The pair made a deal earlier this year. If Fallon did the “Polar Plunge” on March 2, then Emanuel would appear on Fallon’s show in New York. The annual event drew several thousand plungers, raising more than $1 million for Special Olympics Chicago.