Axl, 54, was drafted in earlier this year as a replacement for the AC/DC 's usual lead singer Brian Johnson, who was forced to bow out of their Rock or Bust World Tour due to hearing problems.
His hiring in place of Brian has proved controversial with AC/DC fans, and he has been forced to perform from a specially designed throne after breaking his foot while playing with his reunited band Guns N' Roses last month
Despite Axl's injury troubles and future commitments with his old band, AC/DC guitarist Angus Young says the singer is keen to continue as the group's frontman after their current tour ends in June.
"I know he's very excited," Angus tells Germany's NDR radio station. "He keeps saying can he do more? But we don't really know at the end how we will (proceed). But we wanna get (through) this tour, which we were committed to doing. We wanna (sic) finish it."
The remaining members of AC/DC came in for heavy criticism after it was announced last month that Axl would be joining them on tour.
One prominent critic was The Who's legendary frontman Roger Daltrey, who told the London Free Press, "Go and see karaoke with Axl Rose? Give me a break. I really feel badly for Brian. It must be heartbreaking for him after all the service he's given that band over the years. I've spoken to Brian. He's got loads of other things he wants to do in his life. I think AC/DC will miss Brian much more than Brian will miss AC/DC. There you go."
After leaving the band's tour, Johnson released a statement describing himself as "personally crushed" at having to quit playing live shows due to the risk of losing his hearing completely, but vowed to return after treatment.
Reviews for the Axl fronted version of AC/DC have on the whole been positive, and the band's bassist Cliff Williams is full of praise for his new bandmate.
"Axl has done a fabulous job, and he's almost out of his chair now," he tells NDR. "He's mobile, and he's enjoying himself. It's been really good."
Angus believes that as his health improves, the singer is improving all the time, adding, "His leg's repairing, so each show we've been doing he's been getting up and moving around a lot more."
AC/DC's next tour date with Axl is on Sunday at the Stade de Suisse in Bern, Switzerland, while the Welcome to the Jungle singer will reunite with Guns N' Roses on 23 June in Detroit, Michigan for the first of a series of U.S. stadium gigs.