Rolling Stones frontman Mick Jagger is recovering well after undergoing surgery, his publicist says.

"Mick Jagger has successfully undergone treatment. He is doing very well and is expected to make a full recovery," the singer's US representative, Fran Curtis, said in a statement on Friday.

Curtis gave no details on the surgery but Billboard magazine and other publications said the surgery involved the replacement of a heart valve.

Jagger is believed to have undergone the procedure in New York earlier this week following the postponement of the Rolling Stones' North American tour that had been due to start this month.

Doctors were able to access the valve through his femoral artery and were monitoring the 75-year-old singer for any complications, Billboard said, citing unnamed sources.

The procedure described by Billboard, known as transcatheter aortic valve replacement, or TAVR, is an increasingly widely-used alternative to surgical valve replacement that requires the chest to be opened. TAVR typically allows for shorter hospital stays and quicker recovery times.

Jagger had announced on Twitter last Saturday the band was postponing a tour of the US and Canada to give him time to recover from medical treatment.

"I'm devastated for having to postpone the tour but I will be working very hard to be back on stage as soon as I can," Jagger said at the time.

The tour is now expected to begin in July, Billboard said.