1 The state of exhaustion where one becomes sloppy
2 The state of fatigue during which one feels that they are incapable of normal physical functioning
Sleppy is an adjective meaning that someone has homosexual tendencies.
Derived from a teacher who was acting "frooty" and I meant to call him "frooty" but I was sleepy, and it came out "sleppy" when I was trying to say two things at once. It is a good word.