Beckham is keen to return to Europe during Galaxy's close season, but would have to return for the opening game on March 15th.
The longer Galaxy take to make a decision the less time the former England captain would spend with his temporary club, a point Redknapp is keen to make known.
"I haven't heard anything for a few days. I was looking at (signing him for) at least three months really. If it is a very a short-term thing it can be a problem, as much as I would like him and I am a great fan of his."
He added: "He would be great to have around the place. As a player, as a person and as a professional he is top class. He'd be a great role model for the young players.
"If we are only talking eight or nine games by the time we get him ready, it is a difficult one. I would have to look at that carefully.
"I can't suddenly be leaving people out and then after a few games David goes back and I have to mess about with the team again. It would be a difficult one if it is that short a period.
"We will have to wait until we get all those answers (from Galaxy) and look at it then."