Chapped lips ni baby

Pwede ba to for my 2 months old baby? Chapped kasi lips nya , may tendency pa nagdudugo. I tried applying breastmilk kaso di sya gumagaling , bumabalik din pag chapped ng lips nya. I read online and saw na pwede magApply ng petroleum jelly. But I'm a little hesitant na gamitin sa lips nya kasi may tendency na makain nya while feeding