Inflation has been running persistently below the 2 percent target the central bank likes to see as indicative of healthy economic growth. Some officials have expressed caution about the Fed's collective desire to keep raising rates in that climate.
However, George said she feels confident enough in where things stand to keep advocating for tighter policy.
"I think we should continue with the gradual rate path," she told CNBC in a live interview from the annual symposium in Jackson Hole, Wyoming, that the Kansas City Fed hosts. "While we haven't hit 2 percent, I'm reminded that 2 percent is a target over the long term, and in the context of a growing economy, of jobs being added, I don't think it's an issue that we should be particularly concerned about unless we see something change."
The Fed began hiking rates in December 2015 after slashing its benchmark funds rate to near-zero during the financial crisis and keeping it there for seven years. Since that increase, the Fed has hiked three more times, with the current target now 1 to 1.25 percent.