Totally easy-over, no really easy-peasy. Just cut a rectangle of sweater, I used a striped rib that was pretty thin weight and it's pulled fairly taught around the widest part of the egg. This reduced the bulk at each end.

Then I did a running stitch around one end to gather it.
I then stitched up the side.
Finally I sewed the other end with a running stitch to gather it and knotted to secure.