The 29-year-old Yugoslavian international has been out for several months with his knee trouble, and he is convinced that English doctors cannot find the answer.
He has now asked Hoddle to allow him to return to Belgrade in search of a solution to his injury.
"I have had problems with my knee muscles for twelve weeks now," said Bunjevcevic. "I simply do not know what is wrong."
Meanwhile, goalkeeping coach Hans Segers has agreed to extend his stay at White Hart Lane by another three-and-a-half years.
The former Wimbledon shot-stopper works with Neil Sullivan and Kasey Keller and the Dutchman is delighted to be staying on with Spurs.
"I've agreed terms with the club and I'm very happy - over the moon with it," said Segers.
Sullivan was voted Player of the Year last season following the guidance from Segers, and he is positive that specialist coaching is the way forward.
"Sully did really well last season, he had a bit of a sticky patch this one, but has come back strong and looks himself again.
"I think it's very important, if you see what's going on around the world. If they pay £8m-odd for Van der Sar, Barthez, Buffon in Italy going for £32m, you can see that the goalkeeper position is very important.
"Through good coaching at all levels the club can save a lot of money. The club realise that, and that's why we are well equipped to do well in our goalkeeping areas at every level.
"I've been here just over three and a half years and have had three managers already. I've worked with every manager so far, Christian Gross, George Graham and Glenn, of course. I'm still here, so I'm thinking, hoping, that I'm doing a good job with the goalkeepers."
Another piece of good news for Hoddle came when Stephen Clemence completed an hour in the reserves against West Ham in his comeback from a groin injury.
