pet allergy?

Breanna
My son was born 6 were early and is now 9 weeks old. We have a pitt mix that has a lot of dandruff and sheds a lot. We've noticed recently that my son gets a lot of eye boogers and when he woke up this morning, both eyes were crusted shut. My hubby said he noticed that last night too. Could my son be developing an allergy to my dog?