The Tottenham manager insisted today that there was a "good chance" that Beckham would complete his temporary move to the north London club and even suggested that the midfielder could be at White Hart Lane to watch Spurs' FA Cup match against Charlton on Sunday from the stands.
Press Association Sport understands that a deal for the 35-year-old is far from complete though, with the Los Angeles Galaxy and Tottenham still to come to agreement on the player's wages.
Beckham is thought to be contemplating flying in to London from his home in America this weekend and still favours a move to Harry Redknapp's team. Should the deal fall through, however, he is not likely to seek a playing spell at another club and could choose to see out the MLS close season merely training at another London club.
Beckham wants to move to England to prove to Three Lions manager Fabio Capello that he deserves a chance to add to his 115-cap tally after being overlooked by the Italian since the end of 2009.
Despite entering the twilight of his career, Redknapp is adamant Beckham's arrival would improve his squad as they look to consolidate their position in the top four of the Barclays Premier League over the next two months.
Redknapp thinks Beckham's crossing ability would give Spurs a better chance of hitting target man Peter Crouch - something he believes was lacking in Wednesday's 2-1 defeat to Everton.
"I still think he has something to offer as a player. He could lift the level of performance of the other players. He will be a good influence about the place," Redknapp said.
"Sometimes people of that stature can be massive players. He has the ability to do some of the things we don't do well. The other night (against Everton), Alan Hutton hit Peter Crouch with a great ball, he headed it down and Rafael van der Vaart scored.
"Other than that (Crouch) didn't get too many opportunities because we didn't put the ball where we should be putting it for him. David Beckham has the ability to drop the ball into him 19 times out of 20 - and that's important."
Source: PA
Source: PA