Hey previously over the years i suffer from eczema too...
There are few things i do notice after years of having eczema..
1) it itches whenever we sweat, so don't scratch it! ( try to wash it off with clean water and etc..)
2) we tend to scratch the spot with eczema subconciously! YES, like when im sleeping i tend to scratch the spot, and so i always wake up with blood all over my shirt..

Well, i tried alot of ways to prevent myself from scratching myself, including tieing up both of my hands to the bed.. But it didn't turn out great..
3) I tried alot of medicines and went through alot of treatments including chinese way western way and etc, juz to find that all of that barely worked.. Some even made my condition worse..
Surprisingly, my eczema healed on it's own when im off to 3 months NS training..
Eczema-ers just be sure to keep the spot dry and clean at all times, and don't friggin scratch it cuz it'll make the condition even worse! Normally when u scratch till it bleeds, the wound will get bigger and bigger as you'll scratch it more than ever!~

It'll eventually turn out to be ok in a few weeks i guess.. Hard to tell cuz i ain't no skin specialist or doctor.. Juz sharing my past experience..