"The appropriate policy is really just to wait and see how much the economy slows from the policy actions that we've had," Bostic told CNBC, noting that for months he has believed the Fed would need to get short-term interest rates to the 5%-5.25% range where they are currently.
"I think in the next several months the math is going to work in our favor, and the economy is going to work in our favor," Bostic told CNBC.
Still, he said, "if there is going to be a bias to action, for me there would be a bias to increase a little further, as opposed to cut," Bostic said.
The unemployment rate, at 3.4%, is the lowest it has been in more than 50 years.
Even with some increase to that as inflation comes down, Bostic said, the economy would still be very strong.