Allegri has been linked with AS Roma.
"The possibility that Allegri will leave does not exist,” Galliani stated on Monday. “Allegri is happy to remain at Milan and he’ll stay.
"Allegri, historically, doesn’t start seasons really strongly as you saw when he was at Cagliari.
“However, our sluggish beginning was down to what we did to the squad in the summer transfer window. I hope we do better next season.”