I cannot say this for sure because my Maximum die set is a Lyman for 38, 357 and Maximum, but you should be able to use the dies you have by backing them off. The lee sizer may not be deep enough to size the entire length of the brass but the seat and crimp dies should work by backing them off.
Actually I prefer to have a separate set for each of the 38, 357 and max so that I do not have to re-adjust the dies every time I load for one of the others. One carbide sizer should work for all three with different seat and crimp dies.
Have fun, I love my maximum.
Joe