The group, which canceled numerous stops on its world tour due to the singer's illness, said Gahan was initially diagnosed with gastroenteritis, but subsequent tests revealed he had a "low-grade malignant tumor."
The BBC said the tumor has been removed and Gahan ordered to rest until June 8. The canceled concerts are expected to be rescheduled, the British broadcaster said.
Gahan said in a statement on the band's Web site he "sincerely thanks his fans for their support, understanding and patience."
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