Also, this calculator can be used to see what will happen to your bike's geometry.
geometryCalc
160mm fork would be almost exactly 1 deg slacker HT and ST angles, and about 7mm higher bottom bracket. That is no problem at all.
I should also mention, having done this myself, that when you get a much better fork on your bike you could possibly notice shortcomings with your shock and want/need to change it as well.