Originally Posted By: jetcityjester
I first heard it when I joined the Army in 1977, in Korea with the 2nd Division. I was told it was Japanese in origin and and it came from GI's stationed in Occupied Japan after WWII.

It is from Japanese. The original is sukoshi, and it means 'a little bit'. The way it is pronounced in Tokyo Japanese the U and the I are barely there, being whispered, so it comes across to the American ear as s'kosh'.