Los Angeles Galaxy have continually said the 33-year-old England midfielder must return to the United States on Monday once his two-month loan deal ends, but Milan still hope to persuade them to let Beckham stay in Italy until June.
Milan had tried to buy him outright but a disagreement over price means frantic negotiations are now taking place to simply extend the loan, with the hope that Beckham could then move full time to Italy at a later date.
"I have no news but obviously I still hope to stay," Beckham told reporters.
Last weekend's 2-1 defeat at Sampdoria was a big blow to coach Carlo Ancelotti, who has been told that anything less than a third-placed finish this season and automatic entry into the Champions League could leave his job on the line.
A much-changed Inter were beaten 3-0 by Sampdoria in Wednesday's Italian Cup semi-final first leg but their best side are expected to visit fifth-placed Genoa, who have not lost at home in the league this term.
