The presence of number of web sites has increased the user's attraction towards web objects. This tremendous use came up with the future requests prediction depending upon the current and past access behaviour. Use of Internet has boomed up a lot since the last decade. This use also came with the heavy load on the internet. In today's world, speed plays a significant role and hence the speed augmentation is one of the biggest issues. For this, web latency reduction by prefetching is one of the good ideas. For the same, web prefetching is performed, where user's next expected requests are prefetched in the web cache of the web browser. A browser is basically a GUI based application program, which provides a platform for running Internet. Mozilla Firefox is a web browser, which is in very much use these days. This paper provides an analysis of Mozilla Firefox prefetching technique (link and DNS prefetching) and then designs a new prefetching scheme for the same. The experimental results are performed in Matlab 5.0. The results show that the designed prefetching framework is more efficient in terms of the cache hit ratio.