The sticksman had to have his gall bladder removed, less than two weeks after having an appendectomy.
The 59-year-old's second spell in hospital comes after he experienced severe pain in his abdomen during the band's Because We Can: The Tour.
In a post on the group's website, he wrote: ''I would like to say a quick Thank You to all of you who have kept me in your thoughts thus far. ''There is nothing that can prepare one for a medical emergency but I have been taken especially good care of and would again like to thank all my doctors and health care professionals.''
Tico was originally hospitalised earlier this month in Mexico, and the band had to cancel a show in Mexico City, but this time his bandmates have gone on without him, with Rich Scannella standing in on drums.
Band leader Jon Bon Jovi praised Tico's spirit, writing: ''Tico Torres has been the heart and soul of our band since we started 30 years ago.
''He's also one tough SOB and we look forward to him again pounding away brilliantly at the drums on the remainder of this and future tours.''
Bon Jovi are now two original members down, after guitarist Richie Sambora left the tour in April ''due to personal issues''. He has been replaced by Phil X.
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