Is it safe to have a bone graft done right after the extraction of an infected upper molar? I am scheduled for the extraction tomorrow

Depends. The key in grafting is removal of existing infection and granulation tissue. As long as all the infected tissue is cleaned out, your dentist may be able to do grafting in same visit.
Wait two weeks. Wait two weeks to make sure there is no sprees of the infection.

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When can I resume swimming, diving and other police training activities after a upper molar bone graft extraction?

S/p jaw graft. hello~ Laura, I am not a dentist or a maxillo-facial surgeon so I think you should direct this question to one of those specialists, but just from general principal of bone healing I would say about 6 - 8 weeks thanks. Read more...