Yes, I would think Neosporin is good for pets as yorkieusa says, I just found an article on ESPN for sporting dogs:
 
When such a cut presents itself, Cox advises dog owners to refrain against using alcohol or hydrogen peroxide on the wound. 
"I would wash the wound with a good clean antiseptic soap like Betadine, and then I would flush it with good clean water," Cox said.  
As spring arrives, an offseason of inactivity is coming to an end for many sporting dogs. For your training efforts, Texas veterinarian Bobby Cox recommends a first aid kit and a dose of common sense.  
"If it is a smaller cut, I'd put Neosporin on it, although the dog will (probably) lick it off."  
http://espn.go.com/outdoors/sporting...n/2038254.html 
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Glad to hear Teddy is okay, not sure if he would tolerate a bandage around the wound, but Neosporin and a band-aid may help.