The England international impressed during a loan spell with the Rossoneri last season and is keen on a return to the Italian giants.
Reports claim Becks will return to AC Milan on a new loan deal in January, but Galliani has ruled out the club buying the midfielder this summer.
“There’s no possibility for him to come sooner,” the Milan chief told reporters. “David knows that the doors of Milanello are always open for him, his lawyers also know that.
“I hope he returns in January, but before then he won’t because that’s when the market reopens even though he finishes there at the end of November.
“There are insurmountable financial obstacles.
“The most likely hypothesis is that Beckham plays for us from January until the end of the season and then returns to America without all the fuss that happened last March.
“Before January there’s no possibility.”
