Recently-retired Neville will have his tribute match held at Old Trafford against Juventus on May 23 and despite the Galaxy having two games in the next four days, Beckham may be allowed to return to Manchester for the match.
"At the moment it's not been decided, but I think the organization and Bruce know how important it is for Gary," Beckham said. "They will decide after the game on Saturday [against Chivas USA], and then we'll wait and see.
"It's such a tremendous occasion for Gary, celebrating it in the way he's going to be doing it," he added. "That era, the '92 era, was such an important phase of our lives, so it's a big occasion. It's important for me to be there for Gary more than anything. That's the big thing, but the final decision is obviously up to the boss and the organization so we'll see. I'm concentrating on this game on Saturday (against Chivas USA) and then we'll see what happens."