At this point, time is definitely on your side. You should seek a consultation with a plastic surgeon or dermatologist. These injuries are very common (my kids had similar injuries!). The options include applying topical scar gel and sunscreen, laser resurfacing/ dermabrasion to smooth the scar tissue or scar revision during which the scar is cut out and replaced with a finer surgical scar. Usually with kids, conservative treatment is the best option as scars such as this will improve on their own for up to one year. Given your child's young age, any sort of procedure would likely require general anesthesia which should be avoided unless absolutely necessary. The short answer is that a consultation would be helpful and probably provide you with a plan and reassurance about how things will heal. I hope this information is helpful.
Stephen Weber MD, FACS
Weber Facial Plastic Surgery