The Warrior won't be able to use many spells as it is, but he can get by just fine on having high dexterity and decent strength. Dexterity does wonders in D1. I remember just using my Rogue with a really high dexterity against Diablo and he had like no hit recovery and I'd just shoot him with arrows and they didn't do a lot of damage but he was still too slow to recover from them.
As for vitality, it's probably important too. I'd hate to just recommend you dupe the potions, but that's what I do every time. I can at least tell you not to put too many points in your magic just because the Warrior can do very little with it anyway.