Can my Oily Skin Slow Down my Recovery After Rhinoplasty?

I had an open rhinoplasty 5 weeks ago to remove a hump and refine the tip of my nose but now I can see my nostrils. my doctor said that my tip will go down about 3mm and that my nostrils will not show, but it's been 5 weeks now and it has not changed at all, will it go down? i have a very oily skin, could that affect my healing?