May 13 (Reuters) - U.S. oil output from top shale-producing regions will rise in June to its highest in six months, the U.S. Energy Information Administration (EIA) said in its monthly Drilling Productivity Report on Monday.

Production in the top basins will reach 9.85 million barrels per day (bpd), its highest since December, the EIA said.

Shale production, which represents about three-quarters of total U.S. oil output, is rising due to improved well productivity, with production per new rig in the Permian basin expected to reach 1,400 bpd next month, up from 1,386 in May. That would mark the highest monthly output per rig since November 2021.

Output in the largest U.S. oilfield, the Permian that straddles West Texas and New Mexico, is due to rise by 17,970 bpd to 6.19 million bpd, the EIA said.

Production in the Eagle Ford in southeastern Texas was forecast to climb to 1.11 million bpd, its highest since December, the EIA said. In the Bakken, output was set to increase marginally by 52 bpd to 1.31 million bpd, also the strongest since December. (Reporting by Scott DiSavino and Georgina McCartney Editing by Marguerita Choy)