WASHINGTON — Initial claims for U.S. state unemployment benefits fell by 11,000 to 346,000 in the June 1 holiday week, only slightly above expectations and with no estimated states included in the data, the Labor Department reported Thursday.

Expectations for this week's report was for a claims level of 345,000, a decline of 9,000 from the previously reported 354,000 level in May 25 week. The initial claims level in that week was revised up to 357,000.

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