The Iceland striker returned to the Barclays Premier League last week after leaving Chelsea in 2006 for Barcelona, where he won a host of honours including a Champions League medal last term.
Spurs' battle for fourth place with Liverpool and Manchester City looks set to go to the wire and Gudjohnsen insists Harry Redknapp's side can qualify for next year's premier European competition.
"The team should be looking at this fourth place and really going for it and to do that and still be in the FA Cup you are going to need a squad to get to the finish line. I hope to be part of that," Gudjohnsen told the club's website.
"It's a great feeling to be back and it's fair to say I've found big motivation again. I'm very focused on doing all I can to help the team.
"It's great to be back in England, just to be back in the dressing room, the atmosphere, the sense of humour, it's good," he added.
"I'm very grateful and looking forward to this opportunity to play for Tottenham Hotspur.
Source: PA
Source: PA