WASHINGTON, July 11 (Reuters) - The International Monetary Fund said on Friday it continues to believe that the Federal Reserve could start cutting interest rates later this year and should stay cautious, even as a fall in U.S. June consumer prices raises expectations for an earlier rate cut.

IMF spokesperson Julie Kozack told reporters at a regular news briefing that the disinflation process was underway in the U.S., adding: "We do support the Feds data dependent and cautious approach to monetary policy. We also do expect that the Fed will be in a position to reduce rates later this year, and that assessment continues to hold." (Reporting by David Lawder)