Bob Dudley, who takes over as chief executive at BP PLC (BP) Friday, said Thursday that some $32 billion in funds set aside by the company to cover costs stemming from the explosion and spill from the Deepwater Horizon well in the Gulf of Mexico should be adequate.

In an interview on CNBC,
Dudley said the set-aside funds "are a reasonable set of liabilities," and that "generally, we're in, I think, good shape."

Dudley reiterated that BP is "certainly going to meet our obligations in the U.S. ," adding "I think our activities continue to show that."

Asked about the company's future plans,
Dudley said the company now is well into its $25 billion to $30 billion divestment plan and has received $10 billion so far under that plan.

"And we continue to work on a number of ideas," he said.