Dudley had been told to appear at the Moscow district prosecutors' office on Monday for alleged labor law violations by the oil company, which is currently caught up in a dispute between its shareholders, British oil major BP and a consortium of Russian tycoons.
Dudley "is unlikely to be there. A representative will probably be sent. Dudley's personal attendance is not required," a TNK-BP spokesperson told RIA Novosti.
The company had said on Thursday that Dudley would temporarily leave Russia to run the company from abroad. BP blamed a campaign of harassment by Russian shareholders in the country's third largest oil producer.
The BP-appointed U.S. executive, who has been accused by Russian shareholders of acting only in BP's interests, said he was leaving due to the failure of the Russian authorities to renew his visa.
On Friday, the British Foreign Office warned that Dudley's departure from Russia would be "bad news for both the Russian economy and the global energy industry as a whole."