Children's Benadryl for 10 week old puppy shots?

I have a 9 week old Cavachon (about 6-7 lbs) that needs to get routine puppy vaccines next week. The vet told me to give her 2.0 ml of Children's Benadryl 30 mins prior to shots when I bring her in next week. Is it really advisable that I give the Benadryl as a safe guard to side effects for immunizations? She hasn't had any reactions to shots to date so I'm assuming this is their routine practice. This is a different doctor than the one who saw her when first born. This will be the first time she's had shots with them. I appreciate your help.