The former England captain is available to make a loan move to Europe as the MLS season has now finished and he is not required at current club LA Galaxy until March.
Spurs are hoping to either sell or loan out David Bentley in January and boss Redknapp has targeted Beckham to replace the midfielder according to the London Evening Standard.
Beckham has previously spent time on loan at AC Milan in a bid to force his way back into the England set up and a spell in Europe may well appeal to the 35-year-old again as he is keen to continue playing for the national side.
However, Redknapp may be heading for failure in his pursuit of Beckham as the former England captain has always maintained he would only ever return to England if former club Manchester United came calling.
Graeme Murty admits he faces an Old Firm dilemma after watching Jason Cummings fire himself into derby contention with his first ever senior hat-trick.
Fiorentina captain Davide Astori has sadly died at the age of 31.