Is it correct to use cold compresses for up to 3 days and
 then hot compresses after that?

The place I did it didn't specifically say anything about heat packs, but
 tomorrow is Sunday...
 
There's a bit of a yellow bruise under the eye and a few bruises on the side of the baby's skin.
 I feel like the swelling is gradually going down and it is actually going down.
 
Personally, I like heat packs better than cold packs,
 so I want to do it quickly, but I'm on the 4th day of surgery. Is it okay to start using warm compresses?