Initial claims for state unemployment benefits increased 4,000 to a seasonally adjusted 352,000 the Labor Department said on Thursday. The prior week's number was revised to show 2,000 more applications than previously reported.
A Labor Department analyst said claims for California and Kentucky had been estimated.
Despite the increase last week, which was broadly in line with economists' expectations, claims held near a level economists normally associate with average monthly job gains of more than 150,000.
The four-week moving average for new claims, a better measure of labor market trends, rose 2,750 to 361,250.
Last week's claims data covered the survey period for April nonfarm payrolls. Claims increased 11,000 between the March and April survey periods.
But given recent volatility because of the early Easter and spring breaks this year, claims are probably not useful in trying to gauge April payrolls.
Employers added 88,000 workers to their payrolls last month after a solid 268,000 increase in February.
While there is no doubt job growth has slowed in line with the overall economy, economists said March's meager gains overstated the labor market's weakness.
The claims report showed the number of people still receiving benefits under regular state programs after an initial week of aid fell 35,000 to 3.07 million in the week ended April 6.
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