UPDATE 1-Russian spy gets job with oil company Rosneft-report

(Recasts, Adds background on Chapman)

MOSCOW, Dec 13 (Reuters) - One of the Russian spies deported from the United States in a Cold-War style spy swap in July has been named an advisor at Russia's largest oil company, state-owned Rosneft ROSN.MM, Kommersant reported on Monday.

The Russian business daily, citing sources in the Kremlin, said ex-sleeper agent Andrei Bezrukov had been appointed an adviser on international projects to Rosneft President Eduard Khudainatov.

A Rosneft spokesman declined to comment on the report.

Another agent, Anna Chapman, was the first to step out of the shadows, posing for a magazine in slinky lingerie and securing a job as advisor to the president to the Moscow-based FundService Bank.

But most of the Russian agents have kept a low profile since they were exchanged in Vienna for four individuals imprisoned in Russia for contacts with Western intelligence agencies.

Bezrukov lived in the United States under the name Donald Howard Heathfield, and was 49 years old when he was arrested along with a female Russian suspect, who called herself Tracey Lee Ann Foley, at their Boston townhouse.

Additional reporting by Jessica Bachman; writing by Alissa de Carbonnel; editing by Ralph Boulton