The Rossoneri have lost a number of legendary figures since the end of last season, including Alessandro Nesta, Filippo Inzaghi and Gennaro Gattuso, and have made just one high-profile signing: Italy international Riccardo Montolivo on a free transfer from Fiorentina.
However, having managed to hold onto Thiago Silva despite a €46 million bid from Paris Saint-Germain, Galliani feels that Diavolo are well equipped to reclaim the Serie A title they handed over to Juventus in May.
Indeed, when asked by Sky Sport Italia if Milan might yet make a late move in the transfer market, as they did for Antonio Nocerino last summer, the Rossoneri chief replied: "At the moment, I'm saying no because the team is complete.
"But I'm keeping myself updated and I will continue to inform myself of what's going on elsewhere."
As well as Montolivo, Milan have also completed deals for Bakaye Traore, Gabriel, Francesco Acerbi, Kevin Constant and Edoardo Pazzagli.
However, rumours surrounding a potential move for Manchester City's Carlos Tevez now appear to be unlikely following Galliani's comments.
The Argentina striker was rumoured to be a target for the Milan giants after a difficult season at the Etihad outfit, but a renewed determination by Roberto Mancini to keep hold of him may also scupper any thoughts of a transfer.