Hayward is under mounting pressure to step aside, most recently from Sen. Richard Shelby, R-Ala., who said Sunday on CBS' "Face the Nation" that the oil company boss "should go".
Shelby said Sunday the fact thatreflects his "gall" and "arrogance," and illustrates why he should not be in charge of the company.
"I thought that was the height, height of stupidity, and I believe myself that he should go," Shelby told Bob Schieffer. "I don't know how he can represent a company in crisis like BP and ignore what's going on in the Gulf of Mexico."
Hayward is toinvolving the oil spill cleanup in the Gulf to Bob Dudley, a BP managing director who has helped manage the company's on-the-ground response since May.
BP has said that change was planned prior to the intense criticism of Hawyard over his comments and actions deemed insensitive to the Gulf residents suffering the spill's effects.
More on the oil spill:
Oil Rig Worker: Blowout Preventer was Leaking
Relief Well Drilling "Business as Usual"
Nations Rethink Drilling Due to BP Spill
Oil Spill Taking a Toll on Fla. Tourism
BP's Worst-Case Estimate Was 4.2M Gallons a Day
Shelby: Hayward Must Go
Ken Feinberg: Oil Spill "Pay Czar"