Can tooth extraction site get infected by having crown prep done on another tooth at the same time as the extraction?

My lower back second molar (tooth 31) needs to be surgically extracted due to resorption. I was already scheduled to have a crown replaced on tooth #2 directly above it and the dentist says he can just extract 31 at the same time he does the crown work. I'm very concerned however that bacteria and debris from the crown prep could potentially get into the extraction site and cause problems with infection or a dry socket. Wouldn't it be better to do the two procedures on separate appointments?

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