I do not have the 70-200 f/4 IS, but the lens case 2 is 3.5" in diameter inside. If that helps, the bad news is you may not be able to find a lens case 2. Lowepro has revamped their lens case line and there are fewer of them and they are more expensive. I am looking to add another 2S for my 70-300 L, but I can not find one thus far.