Pink swelling from baby's eye ? Please read .?

So, this past weekend, I watched my in-laws house until Wednesday while they were at their cottage . I have two small children . They have a nasty, untrained dog .

Anyways, Wednesday morning, while I had my back turned, the dog knocked my son down and attacked him for his cookie . The dog's nail or tooth (not sure) grazed him on the skin under his eyebrow in two places . The actual wounds are only about half a centimeter each . The skin above and below his eye has turned pink, no darker, and swollen up so that his eye is only open 3/4 way open . I spoke to Telehealth and showed a pharmacist and both told me that unless the eye started showing signs similar to pink eye, he would be fine without treatment . I have been using Polysporin on the wounds . My question is - does anyone know of any ways to bring down the swelling ? I feel so bad for him, he's only 15 months and his little baby angel face looks so sad with this puffy eye .

Thank you in advance for any answers !!