The 30-year old former Leeds United, Real Madrid and Newcastle United centre-half has played just three matches for Spurs this season because of an ongoing groin injury which cannot be properly deciphered.
Woodgate has spent the past two months in New York, working with NBA club New York Nicks' physiotherapist Dave Hancock but is keen to sought further advice.
The England international may take the same steps as his former Leeds teammate Harry Kewell has taken to try and prevent his groin injuries and come to Australia for treatment.
Spurs boss Harry Redknapp said Woodgate deserved to find a solution to his problem and get back into England's top flight before launching an assault on Fabio Capello's World Cup squad.
"Jonathan is desperate to come back and play and I am desperate for that, too. He is such a good player and he is hopeful about things," he said.
"He is a great guy who just wants to play. He has to go with what he feels will help him. People don't realise what players go through when they are injured. They just want to play but they have these injuries which are stopping them from doing what they love. It's a nightmare for them.
"Woody would have a great chance of being in the England squad if he was able to stay free of injury for long periods, so it's so difficult for him."