BP has denied reports from Russia that Tony Hayward is set to stand down.
A Russian report claimed deputy Prime Minister Igor Sechin said BP chief Hayward - who he meets today - will step down and name his successor.
Hayward is expected to discuss BP's operations in Russia with government officials. The country represent a quarter of the company's total production.
BP also recently denied speculation it would dispose of some of its Russian investments.
The company says it is now spending $100m (£66m) a day on spill costs which include containment efforts, relief well drilling, grants to affected states and claims.
On Friday, the oil major announced it had spent $2.35bn (£1.5bn) cleaning up the oil slick.
A tropical storm heading towards Mexico is expected to miss the oil spillage area but there are fears it could still cause disruption to relief efforts.
In early trade this morning, BP's share price was up 1.56% to 309p, after it said the first of two relief wells is on track for completion in two-and-a-half weeks.
Shortly after 15.30 UK time, BP was up 0.46% to 306p.
On Friday, its share price hit a 14 year low, dropping below 300p.
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