A number of top-flight managers have already spoken out in favour and Bradbury added his voice to the calls when he insisted the game was crying out for the use of such technology.
Bradbury's comments come after the debate was reignited by Sandbanks-based Tottenham boss Harry Redknapp, who was left angry after Spurs were on the wrong end of a decision at Chelsea.
With Redknapp's side 1-0 up at Stamford Bridge on Saturday, assistant referee Mike Cairns ruled that Heurelho Gomes had fumbled Frank Lampard's shot over his own line, while television replays showed the decision was incorrect.
Redknapp said: Until we get technology, it will keep happening.
Bradbury agrees with the former Portsmouth and West Ham manager.
The Cherries boss told the Echo: I think it is needed. I don't know how many times it has to happen before we do something about it.
It was proven in the World Cup with Frank Lampard, and in the league on Saturday.
As long as it is quick and can be done within around 10 seconds the referee could speak to the fourth official who could have a television near the dugouts and get an answer within five seconds that has got to be the answer.
If it is not going to take too much time and it is 100 per cent correct, then it has got to be done because it could cost people points and jobs. It can be the difference between going up, staying up or whatever the case may be come the end of the season in league football.
Bradbury believes the hot topic will only go away once technology has been embraced.
He added: I think offsides have got to be done by the linesmen but goal-line technology has been crying out to be looked after and sorted out for a couple of years now. It keeps rearing its ugly head, so the sooner it is done, the better.
Other mainstream sports such as cricket, rugby and tennis use technology to assist match officials with important decisions.
Despite growing calls to go down the same path, football's rule-makers have so far resisted the pressure to do so.
However, goal-line video technology could be on its way in the next three years.
FIFA president Sepp Blatter indicated earlier this year that should a system prove accurate and immediate, it could be introduced in time for the next World Cup in 2014.