T-Zone usually oily, but tight after shower?

Hey pickies! I have a question about what’s going on with my skin after I take a shower. So, I have combo/oily skin (sort of oily T-zone with normal cheeks). However, after I take a shower, my skin - ESPECIALLY my t-zone - feels so tight and like the moisture has been sucked from my skin. It’s so uncomfortable, and I crave immediate hydration. Is it normal for an oily t-zone to experience this, or is this a sign my skin type is something else? This pretty much happens whether or not I use a cleanser in the shower (sometimes I forget to use it). In fact, more so when I don’t cleanse my face in the shower.