Treadmill in-between overhead press sets?

[Booman]

Sex: Male
Age: 32
Height: 6'0
Weight: 225

Current 5 rep Maxes:
Squat 355
Press 160
Bench 230
Deadlift 410


4 months on madcow now and I think my overhead press is stalled, so I want to add a 5x5 press on Saturday. Anyone see a problem with doing incline treadmill in-between the sets? I was imagining doing about 45 min of "zone 2" treadmill on the highest incline, and then stepping off every 8 minutes or so to do a set of 5 presses. Seeing as how this wouldn't be an intensity day, I feel like it could work.

[Mark Rippetoe]

Ask madcow.