Correct navigational behavior of a web application is essential to its reliability. An effective means to improve our confidence in the correct behabior of a web application is to test it by exploring the possible navigation among the web pages at client side: The tester carries out the testing by consecutively clicking the hyperlinks along with some possible search parameters and checking whether the returned web pages are as expected. Traditional conformance testing techniques based on finite state machines can be adopted in this setting to automatically generate suitable test sequences to traverse among client pages. This paper presents our initial result in improving T-method for test sequence generation to considerably reduce its length by making use of the characteristics provided by the web browsers. Our experiments show a 29% - 68% saving on the test sequence lengths compared to the direct application of T-method.