Depending on how large and how deep the hole is, I would treat the area with a good antibiotic salve --- I have found that Emu OIL is the greatest. The product I use is produced by a company called Laid in Montana

(I wonder about the name, LOL) . Anyway, it contains Emu Oil, Soy Oil, Comfrey, Chamomile Calendula, Lemom Balm, and Vitamin E along with ESSENTIAL OILS of Lavender, Rosemary, Tea Tree and EXTRACTS of Golden Seal and Echinacea. i have used this product for several years successfully on some very nasty deep wounds on my horses and on all wounds that the dogs and I have
I'm telling you, this stuff is WONDERFUL.... Here is their website address:
http://www.laidinmt.com
I would be careful about the overuse of antibiotic shots .... they interfere with the body's natural ability to fight off infections and one day you might have a life and death issue and will not want your baby's natural immune system to have build up a resistance to the antibiotic.