cradle cap

So my son is 2 months old. He has cradle cap and I wasn't doing much to try and remove it just brush his hair a little at bath time and use lotion. 
Well at his 2 month check up his dr recommended I put baby oil and that it will help loosen & clear up...well it's been 3 days that I have used baby oil and omg he is losing his hair!!! 😭😭😭
Has this happened to anyone else? I quit using the baby oil now