Does milk give you heartburn?

Sometimes I have a sensitive stomach and I've been trying to get rid of animal related milks in my diet because I get heartburn sometimes when I drink them are consumed a product related to them which is pretty often because I do like to eat lots of donuts and snacks like that. Do any of you guys get heartburn when consuming milk?

No, I like to drink almond milk as its more natural and easier to digest in the stomach.