The 37-year-old Angels singer allegedly contrasted the length of his group's residency at Wembley Stadium with that of Noel's former band Oasis.
According to British newspaper The Sun, Robbie said: 'The Rolling Stones have done two nights here. Oasis did three - Take That are here for eight on the trot. Mick Jagger can lick Gary Barlow's face. Noel Gallagher can lick my a**e.'
Gallagher, 44, reportedly responded: 'Lick his big fat Bobby-Butlins a**e? Wow! The hormone replacements must be doing the trick, eh? I'd rather suck on his man boobs.'
Williams appeared on stage with Oasis back in 1995 after he left Take That but later fell out with the group because Noel referred to him as 'the fat dancer from Take That'.