I am not 100% sure, but I do not think a 4" will fit. It is tight on the back of the 6.0 just like on the older trucks..... you may be able to make it fit..... but.....
This is assuming you are asking about your 6.0PSD...... I know on my 03, there is barely enought space for my arm between the bellhousing and the firewall, and the 4" pipe is bigger than my arm...... I believe they have a 3" on them from the factory......