The bearded rocker fell just before the band hit the stage in Lubbock, Texas on Thursday night (14Apr16), and dislocated his shoulder.
He was hospitalised and the trio was forced to cancel the concert and two more over the weekend.
"My physicians told me that this type of injury is usually associated with contact sports," Hill says via the band’s website. "I’m not sure bass-playing qualifies as such, but they’re doing their best to get me back in the game as soon as possible. Thanks to everyone for all the good wishes we’ve received."
As he recovers, ZZ Top have put their Hell Raisers Tour on hold and they hope to reschedule dates in Louisiana, Mississippi, Tennessee, Georgia, Florida and Oklahoma.
The trio also has plans to hit the road with Gregg Allman later this year (16).