Two Fed officials spoke after data showed that employment increased at a solid pace in July.
Economists expect further tame inflation readings before the Fed's September meeting.
The hike lifted the target range for the Fed's benchmark federal funds rate to 5.25% to 5.5%.
The increasing split between Fed officials is clouding the outlook for rates.
The economists surveyed expect the Fed to keep rates at their peak level through year's end.
Atlanta Fed President Raphael Bostic has emerged as one of the more dovish policymakers urging patience.
Fed Chair Jerome Powell had hinted at a suspension of the tightening campaign last month.
Investors pared bets on a rate hike next month to around 13% after Powell's comments compared with 33% before he spoke.
Policymakers have plenty of reasons to be more optimistic about the three-year-old expansion.
Investors bet the Fed will hold fire at its June 13-14 meeting as policymakers assess the impact of higher rates.
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