There will be conclusive proof that some particles can travel faster than light before 1 Jan 2014.
The particles don't have to necessarily be neutrinos.
The experiment must be peer reviewed and the results accepted by several reputed physicists.
As a conclusive proof I would require multiple experiments with totally different methods with the same conclusion. Reputed physicists will be several Nobel laureate class physicists explicitly defending the case. I think this practically impossible, especially when I am the judge. Note that first dark matter observations were done almost a century ago. Yet today we still can not say that the existence of dark matter particles are conclusively proven, because we have no direct observation of them and there are reasonable alternative gravity theories that might explain some observations.
Would you rather bet on "Another large scale experimental collaboration will report faster-than-light particle speeds"? That might be a more reasonable bet.