Is it normal for my nose to start peeling after i've started using a cleansing oil?

[avi]

So about 2 weeks ago, I bought the La Roche Posay Lipikar Cleansing Oil and everything was fine at first, my skin felt smoother, lighter and overall just in a better state. However, a few days ago I started noticing some white stuff, resembling dead skin on my nose and between my eyebrows. I'm just wondering if this is normal, as I have struggled with blackheada on my nose, or if I should be worried.

Idk if this helps, but my skincare routine is the following:
-Morning: LRP Hydraphase Rich, LRP Hyaku B5 Serum, LRP Anthelios

-Night: LRP Lipikar Cleansing Oil, LRP Tolerian Foaminf Gel, LRP Hydraphase Rich

LRP stands for La Roche Posay btw

 

[avi]

I should probably add that the rest of my skin is fine