Husband is an Oily Guy

My husband is an oily guy. He just produces more sebum than a lot of people. The problem is, his clothes get that oil soaked in, and it can cause an unpleasant feel (like it's still very dirty). Sometimes they will even develop a smell. He's been to a doctor. It's just him. He takes showers everyday, so it's not his fault. Does anyone have ANY suggestions for getting that out? I've tried white vinegar. I use All Hypoallergenic detergent because we have sensitive skin. Any help would be appreciated! Thank you!