How much milk should I be pumping?

My son is 6weeks old and is exclusively breastfed. I’ve started pumping after feedings to help increase supply and hopefully build a freezer stash. However I’m only producing 1-2oz at a time, maybe 2-3 if he’s not fed recently or at night time. I’m eating oatmeal, drinking water and doing everything I can think of. I’ve also spoke to a lactation consultant but she’s said as long as my babies gaining weight and producing wet diapers (which he is.. a lot) he’s getting enough. But he’s feeding every 1-2 hours during the day. I would love to be able to feed him more and him go longer, any advice?