Across Massachusetts, about half of primary care doctors aren't taking new patients, according to the Massachusetts Medical Society's 2013 Patient Access to Care Study. The rate for internal medicine specialists, or internists, who often also serve as primary care doctors, is 55 percent. If you've found a new doctor and want to schedule a routine visit, be prepared to wait. It takes an average of 39 days for new patients to get an appointment with a family physician and 50 days to see an internist. That's better than last year, when the average wait was a whopping 45 days, but up from 29 days in 2010.