Ideally, you should wait much longer than that. It's best to cycle an aquarium completely before adding any fish. Cycling can take anywhere from two weeks to two months.
Here are some articles on the aquarium cycle:
However, since you already have the fish, it might be better just to move him into the new tank right away and let the tank cycle with the fish in it. However, doing this can be very tricky as you will have to do water changes in order to keep ammonia and nitrite levels at a minimum while the tank cycles. The best way to monitor the progress of the cycle and know when to do a water change is to be able to test your water parameters (pH, ammonia, nitrite and nitrate). A good liquid test kit, like the API Freshwater Master Test Kit, is an essential tool for any fishkeeper as it will let you test these parameters and keep your fish healthy and happy.