This is generally true, if we're talking 5 sets of 5 reps with same weight around 80-85% of 1RM.
However, in Starr's programs, 5x5 refered to doing each set with progressively heavier weight, with last set being near your 5RM. So, MultiMan, I think it should be better you start with this protocol.
Another way around it is to use submax weights to allow your body to get accustomed to all the volume. So, instead of using 85% on your first week, you start with 65%-70% and increase slowly week by week. But, you'll eventually need to take a week off and unload with less volume.