TOKYO, May 9 Reuters Oil prices fell on Tuesday, relinquishing some of the strong gains of the previous two sessions with the market cautious ahead of U.S. inflation figures, which will be key to the Federal Reserve39;s next interest rate decision.

The Brent crude price was down 68 cents, or 0.9, at 76.33 and U.S. West Texas Intermediate WTI crude fell 69 cents, or 0.9, to trade at 72.47 by 1022 GMT.

Both contracts had settled more than 2 higher in the previous trading session.

The market is cautious today ahead of the inflation data…With net long positions declining sharply over the last two weeks, a lot of traders are already out of the market, so volumes are low. said Suvro Sarkar, lead energy analyst at DBS Bank.

U.S. consumer price index CPI figures for April are due on Wednesday.

The Fed raised rates last week in what may be the last hike of its tightening cycle. It dropped guidance about the need for future hikes, with inflationary pressure starting to ease.

U.S. consumers said last month they expected slightly lower inflation in a year39;s time, a report from the New York Federal Reserve showed on Monday.

Continued moderation of U.S. inflation, and elsewhere, is of course expected, Clifford Bennett, chief economist at ACY Securities, said.

Nevertheless, the Federal Reserve remains highly focussed on defeating sustained high inflation at any level, he added.

While oil markets fell sharply last week, prices rose on Friday and Monday as fears of…