The two clubs are struggling to reach an agreement, but it is reported Beckham has found a compromise - he will stay in Serie A until May 31 and then return to America for Galaxy's game with Toronto on June 6.
"Milan have made an effort that we consider right for an eight-month loan deal because, as [AEG chief Tim] Leiweke confirmed, David will become a free agent on November 30," said Milan vice-president Adriano Galliani.
"I don't want to cause any controversy and in fact thank Galaxy for allowing us Beckham on loan during these months."
When asked if he would increase the reported $3m offer to Galaxy's $12m demands, Galliani was firm.
"Absolutely not. I have the experience to know the value of a player. According to the European parameters, it is senseless to pay any more."
Leiweke complained that the offer would not even cover the loss in shirt sales, but the Milan chief pointed out there were different considerations.
"In the States they look at the commercial aspect, while in Europe our transfers are above all based on technique. The budget at my disposal is already at breaking point between wages and fees."