It is also the decision I would make because you don't really want to keep bad debt around. If that money isn't making you money, then it's a liability and reducing as much as you can will help. It will make everything much easier if you are able to save some of the money by spending more money.
Putting it in now and reducing the loan faster, would effectively mean having an even lower rate over the period of the loan. I am also hoping I might get a pay rise somewhere too, so some of that will go in also.