Your on a tracker (either ecb+.6 or 1.1) which is probably one of the best rates available. It is possible to come off that tracker and fix at whatever rates the bank are offering, you will have to go onto your own banks website to check those rates. But if you go fixed, once the term is up you will revert to the standard variable, which will never be as good as your tracker.
While fixing now may seem like it will save you money in the short term, having the tracker will save you more money over the life of the mortgage. The only advice is to stick with the tracker, you are very lucky to have it.