Beckham started a month-long training spell at the north London club on Monday and is still hopeful he will turn out in a Tottenham shirt. The Galaxy start the new MLS season on March 15 but want their star man back in LA shortly after his training spell with the club is scheduled to end on February 10.
"If it was only until February 10 that would only be a month," said Redknapp. "To do that would be a waste of time because, by the time David got fit, it would be a couple of weeks and suddenly you'd be into February."
He added: "I would have liked him to play, if he could have come to the end of the season it would have been great. I didn't know it was only going to be two months at best.
"When it was mentioned, I thought 'yeah, to the end of the season it would be good'. Then, suddenly two months becomes a month, and only if we got permission.
"By the time he's fit, just to throw him in for three or four games would be difficult."
The first move of what is expected to be a busy transfer window for Redknapp started on Wednesday when David Bentley joined Birmingham on loan until the end of the season.
Striker Robbie Keane could join the midfielder at St Andrew's with the Republic of Ireland captain wanting to leave after finding himself well down the pecking order this term.
The Tottenham boss could use the money from Keane's transfer to fund his long-term pursuit of Everton midfielder Steven Pienaar.
Everton have accepted a bid for the South African, whose contract runs out at the end of the season. Redknapp admits Pienaar represents good value for money at his current asking price but thinks the 28-year-old is destined for Stamford Bridge.
Source: PA
Source: PA