White, 41, recently underwent a routine tonsillectomy, at which time doctors discovered the cancer, according to the statement.
White "should make a full and speedy recovery," according to the statement.
The band released the statement in hopes of keeping speculation at bay.
The popular punk rock band formed in 1987. White toured and worked alongside the three original, full-time members – lead singer
The band has sold more than 75 million records worldwide since releasing its breakout album "Dookie" in 1994. More recent hits include "American Idiot" and "21st Century Breakdown."