thanks eepster - that was my first thought, too! However if the animal starts to leak stuffing I will do something.
After posting here, I went surfing and discovered that there are "doll hospitals" and "teddy bear hospitals" that do make repairs to stuffed animals... lots of before and after pictures! So there must be some techniques, but perhaps they are trade secrets. I didn't see anything that would help. And I also found out you can easily get replacement eyes though it looksl ike you would have to perform "intercranial surgery" to do that.