The Rossoneri have only made two high-profile acquisitions to date - Alex and Jeremy Menez - and that has led to concern over how competitive they will be in Serie A this season
The Rossoneri have only brought in two high-profile players to date, Jeremy Menez and Alex, both of whom arrived on frees after running down their contracts at Paris Saint-Germain.
Consequently, there is some concern among the San Siro faithful about just how competitive a squad new boss Pippo Inzaghi will have to work with this term - but Galliani insists that Milan's business is far from done.
"The transfer market? There's time all the way up until September 1," the Rossoneri CEO and vice-president told Sky Sport Italia.
"We are working with this mindset. We are hoping to build a strong team."
Galliani also played down the significance of the 3-0 friendly loss to Olympiakos in midweek and claimed that the spirit within the camp is exceptionally high.
"We are still missing eight internationals," he pointed out. "Not to mention the problems always tied to summer preparations. The important thing is to be ready for the end of August.
"I see a marvellous atmosphere. Pippo is proving very good. The players are following him and we have great confidence for the future."