Ringo Starr and his All-Starr Band, fresh off a pair of dates in Mexico, have canceled two U.S. shows because of an unspecified illness. That included last night's (March 12) stop at Santa Ynez, Calif., and tonight's (March 13) appearance in San Francisco.

This information comes via ABC News Radio, who note that only a pair of concerts now remain (both this weekend, at Pala, Calif., and then Las Vegas), as Starr winds down a tour that began back in February. He is then set to release a new solo album featuring members of the All-Starr Band on March 31, called Postcards from Paradise.

The Chumash Casino, where Starr and company were to perform on Thursday, reports that the former Beatles drummer "hopes to be able to reschedule the date sometime in the future; no date has been set and ticket holders will be refunded." Tonight's stop at the Masonic theater has been rescheduled for Oct. 1, according to a new update from the venue.

All-Starr Band member Todd Rundgren co-wrote the title track of Postcards from Paradise, which arrived as the forthcoming album's initial advance track last week. He and the rest of the current group -- which also includes Toto's Steve Lukather and Santana/Journey co-founder Gregg Rolie -- appear on the new song "Island in the Sun," as well.

Postcards from Paradise is Starr's first studio project since Ringo 2012. That was the same year he assembled this edition of the All-Starr Band, his longest-tenured ever. Rundgren also took part in a 1992 tour with the All-Starr Band.

See the Yearbook Photos of Ringo Starr and Other Rock Stars

You Think You Know the Beatles?