San Francisco Fed President John Williams and Sandra Pianalto, head of the Cleveland Fed, said they expected inflation to dip this year, which could pave the way for more policy accommodation from the already stretched central bank.

The pair, each with a vote this year on the Fed's policy-setting committee, did not specifically advocate policy change but they suggested conditions could warrant more action.

Meanwhile Kansas City Fed President Esther George, giving her first speech as the regional Fed chief, cautioned that policymakers must weigh the risks of sowing the seeds of future instability when considering further action to spur growth.

The Fed late in 2008 slashed interest rates to near zero and has since bought $2.3 trillion in long-term securities to spur growth and keep the economy afloat in response to a deep recession and financial crisis.

Williams said the Fed should consider buying more housing-sector bonds if more evidence builds that inflation is falling as he expects toward 1.5 percent, well below what the Fed sees as a healthy level of inflation.

If that prediction pans out and U.S. economic growth stays in the 2.5-to-3-percent range, there is a "strong argument for going to, I think, purchasing more mortgage-backed securities down the road," he told reporters after a speech in Vancouver, Washington.

Some of the Fed's large-scale asset purchases were of mortgage-related securities.

Recent data from employment to manufacturing to consumer credit suggest the world's largest economy gained momentum going into 2012. The high unemployment rate, a slow housing market recovery and the European debt crisis, however, still pose risks.

Pianalto called the economic recovery "frustratingly slow" and unemployment, at 8.5 percent in the latest reading, "stubbornly high."

"While it is true that the federal funds rate has been near zero for some time, some economic policy models indicate that monetary policy should be even more accommodative than it is today," she said in a speech in Wooster, Ohio.

Pianalto, like Williams, is considered on the dovish wing of the Fed, more concerned with bringing down high unemployment than fending off high inflation.

Minutes from the Fed's December 13 meeting showed the Fed was still engaged in an active debate on its easy monetary policy stance, with some favoring more accommodation and others against further stimulus. Last year, some officials dissented against policy decisions both because they were too aggressive and not aggressive enough.

"Policy choices that attempt to speed improvement in the housing and labor markets can be attractive," George said, speaking in Kansas City. "But this desire must be traded off against the need to foster long-term stability within our financial sector."

George, who is not a voter this year, succeeded Thomas Hoenig, who was among the most hawkish of Fed officials.

"She is not as explicitly against Fed intervention as Hoenig was, but there are no emphatic calls for further stimulus either," Jefferies analysts wrote in a note to clients.

The Fed's next policy meeting is set for January 24-25, and officials have already begun setting the tone for this year's debate.

On Friday, Boston Fed President Eric Rosengren argued that buying more mortgage-backed securities was one way that the central bank would shore up the housing market, while William Dudley, the influential head of the New York Fed, said monetary policy should work to complement actions by other U.S. policymakers to boost that struggling sector.

On Tuesday, Pianalto and Williams painted a picture of continued weakness, each saying they expect the economy to grow around 2.5 percent this year, and about 3 percent in 2013. While Pianalto characterized it as a "moderate" recovery, Williams said that pace is too slow to take a big bite out of unemployment.

Though in the past she forecast 2-percent inflation for the next two years, Pianalto said she expects inflation to dip below that level during the first half of 2012.

Williams predicted the jobless rate will stay above 8 percent well into next year, ending 2014 at around 7 percent, calling the situation a "national calamity."

(Reporting by Ann Saphir in Vancouver, Washington, Kim Palmer in Wooster, Ohio, Mark Felsenthal in Kansas City and Jonathan Spicer in New York; Writing by Jonathan Spicer; Editing by Padraic Cassidy and Chizu Nomiyama)

By Ann Saphir and Kim Palmer