NEW YORK, Feb 1 (Reuters) - The dollar fell against the euro and yen on Thursday as investors continued to bet the Federal Reserve is closer to cutting interest rates, even after Chairman Jerome Powell said that a move in March was unlikely.

Powell said on Wednesday that rates had peaked and would move lower in coming months, with inflation continuing to fall and an expectation of sustained job and economic growth.

But he declined to declare victory in the bank's two-year inflation fight, vouch that it had achieved a sought-after "soft landing" for the economy or promise that cuts would come as soon as the March 19-20 meeting.

The common theme that's emerging from central bankers is a reluctance to indulge the market's pricing on rate cuts," said Adam Button, chief currency analyst at ForexLive in Toronto.

The dollar initially bounced on Powell's comments that a rate cut in March is not the "base case," but weakened on Thursday ahead of key jobs data on Friday.

Traders are now pricing in a 39% probability of a March rate cut, and a 94% chance of a rate reduction by May, according to the CME Group’s FedWatch Tool.

"Even though Mr Powell is out there saying directly we're not ready to do this, the markets keep moving their anticipation for the first rate cut to the next meeting," said Joseph Trevisani, senior analyst at FX Street in New York.T

raders are expecting an economic slowdown, but they "haven't gotten it yet", he added.

Friday's jobs report for January is expected to show that employers added 180,000 jobs during the month. (USNFAR=ECI), opens new tab

Data on Thursday showed that U.S. fourth quarter worker productivity grew faster than expected, while initial claims for state unemployment benefits increased in the latest week. U.S. manufacturing also stabilized in January amid a rebound in new orders.

The dollar index was last down 0.55% at 103.04.

The greenback has also been pulled lower by tumbling Treasury yields on renewed jitters over U.S. regional banks. A sell-off in shares of those banks continued on Thursday, adding to losses from a day earlier when New York Community Bancorp (NYCB.N), opens new tab reported pain in its commercial real estate portfolio.

Those concerns may have also boosted the safe haven Japanese yen. The greenback lost 0.45% against the Japanese currency to last trade at 146.29 yen.