Beady Eye expect Gem Archer to make a full recovery.
The 'Shine a Light' band's guitarist was hospitalised at the beginning of this month after falling over at home and fracturing his skull, but the group say he will get better and they will get back on the road as soon as possible.
A post on the group's website reads: "A big thank you to everybody who's been in touch to give messages of support for Gem following his accident.
"He and his family really appreciate it and so do the band. We are gutted about all the cancelled shows but thank you for understanding that we need to prioritise our mate and his recovery.
"The good news is Gem is doing well so far and is expected to make a full recovery over the next few weeks ... We are buzzing about getting back on stage for the UK and Ireland dates in November."
The band - which also includes Liam Gallagher, Andy Bell, Chris Sharrock and Jay Mehler - had to cancel shows in Japan, Belgium and at this weekend's V Festival in the wake of the accident.
Gem's wife, Lou, has been tweeting about his recovery, and remains upbeat, saying: "He needs to mend, how long it will take I'm not sure. He's a tough cookie."
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