The Fed last year lifted interest rates further and faster than any time since the 1980s to fight inflation that, by the central bank's preferred measure, has run for two years at about triple its 2% target.
Key to that, Logan said on Tuesday, will be substantial further slowing in wage growth and better "balance" in what is now an "incredibly strong" labor market.
Logan also said she will need to see "convincing" signs that inflation is dropping sustainably and in a timely manner toward the 2% target.
There are also risks, she said, of going too far and weakening the labor market more than necessary in pursuit of slowing inflation.
"My own view is that, given the risks, we shouldn't lock in on a peak interest rate or a precise path of rates," she said.