Dallas Fed bank Robert Kaplan said he will leave his post on October 8, while Eric Rosengren, who leads the Boston Fed, moved his already-scheduled retirement up by several months to September 30.
If inflation reaches the Fed's goal while the unemployment rate, now at a 16-year low of 4.2 percent, is below 4 percent that may be a signal that the economy could be overheating, Rosengren suggested in an interview.
Boston Fed President Eric Rosengren, a long-time dove who last year switched tack and began pushing for tighter monetary policy, said he expects the US central bank to raise rates "at least as quickly" as the median Fed forecast from December.
Boston Fed President Eric Rosengren on Monday called for the U.S. central bank to step up its pace of interest-rate increases from the once-a-year pattern it has pursued since 2015, warning of inflation risks if it does not.
"We tended to move around the time that the chair has a press conference. So the next press conference meeting is in December. There's a much higher probability in December," he said on "Squawk Box."
Even if the Fed raises rates, James Glassman of JP Morgan does not see a big fall in the equities market, instead expects a short-term volatility in the market.
In a agency interview, Eric Rosengren said the slowdown in hiring last month effectively heightens his sensitivity to the economy's performance the rest of the year.
While Wall Street frets over the ability of bond markets to absorb an approaching interest rate rise, the US Federal Reserve has a message for the industry: deal with it.
Boston Fed President Eric Rosengren said in an interview that while wild cards remain - including the recent drop in oil prices, China's economic slowdown, and the ongoing Greek debt crisis - the US central bank could move to tighten policy at any upcoming meeting, including one in mid-September.
Australian shares were up about 0.3 percent, ahead of the Reserve Bank of Australia's policy decision at 0430 GMT. The bank is expected to keep rates on hold at a record low of 2.0 percent.
Spot prices were heading for a 2.5 percent weekly gain, snapping a three-week losing streak, mostly due to global equities slumping at the start of the week on worries over developments in Greece that could see it quitting the euro.
Congressional Republicans and the White House are in a stalemate over government funding forcing the first government shutdown in 17 years and interrupting, among other government functions, the regular flow of official data on the economy.
US central bankers appear satisfied with the impact of their latest monetary stimulus, though there is some disagreement over how forcefully to continue purchasing bonds, remarks by two top policymakers on Monday showed.
The Federal Reserve's "forceful" new policy accommodation is essential to get the US recovery back on track and to avoid a damaging economic stagnation, a top US Fed official said on Thursday.
A top Federal Reserve official said on Tuesday the Federal Reserve should launch another bond-buying program of whatever size and duration is necessary to get the economy back on its feet, signaling support from some US policymakers for aggressive steps to boost the flagging recovery.
US economic growth has been weaker than economists had expected, but it is still too soon for the Federal Reserve to consider additional bond purchases, Boston Fed President Eric Rosengren said.