Sir Mick Jagger’s Rolling Stones bandmates have expressed their support for the 75-year-old frontman after he announced he was pulling out of a tour of the US and Canada because of an undisclosed medical problem.

Jagger, who follows a strict diet and fitness regime, said he was “devastated” to let down the band’s fans after he announced the group were postponing the North American leg of their tour on doctor’s orders.

The singer has been told he needs medical treatment but doctors said they expected him to make a full recovery. No further details about his condition were released.

Jagger’s bandmates were quick to voice their support. Keith Richards, who has been at the singer’s side since the band formed in 1962, tweeted: “A big disappointment for everyone but things need to be taken care of and we will see you soon. Mick, we are always there for you!”

The guitarist Ronnie Wood added: “We’ll miss you over the next few weeks, but we’re looking forward to seeing you all again very soon. Here’s to Mick – thanks for your supportive messages it means to much to us.”

A statement on behalf of the group said: “Unfortunately today the Rolling Stones have had to announce the postponement of their upcoming US/Canada tour dates – we apologise for any inconvenience this causes those who have tickets to shows but wish to reassure fans to hold on to these existing tickets, as they will be valid for rescheduled dates, which will be announced shortly.

“Mick has been advised by doctors that he cannot go on tour at this time, as he needs medical treatment. The doctors have advised Mick that he is expected to make a complete recovery so that he can get back on stage as soon as possible.”

In a tweet, Jagger said: “I’m so sorry to all our fans in America and Canada with tickets. I really hate letting you down like this. 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. Once again, huge apologies to everyone.”

The band were due to kick off the US and Canada leg of their No Filter tour at the Hard Rock stadium in Miami, Florida on 20 April, finishing at the Burl’s Creek Event Grounds in Ontario, Canada, on 29 June.