Southwest Airlines Co (NYSE:LUV) CEO Bob Jordan is determined to keep his top spot at the company, despite pressure from an activist investor that is looking to shake up the leadership and make other changes.

Jordan said on Wednesday that he will not resign as CEO as the airline endures pressure from Elliott Investment Management, which on Monday called for executive and board changes and is eyeing changes to Southwest's open-seating policy and other possible revisions, Reuters reported.

Southwest and Elliott did not immediately respond to Benzinga's request for comment.

Also read: Analyst Expectations For Southwest Airlines's Future

Talking to reporters in Washington after an event, Jordan said the air carrier will "sit down and listen to them", but he also said "I have no plans to resign" as CEO of Southwest, having worked there for 36 years, according to Reuters.

He said Southwest expects to receive only 20 planes from Boeing Co (NYSE:BA) this year, down from 80 planes forecasted initially from the aerospace company.

Jordan is scheduled to meet with the head of the Federal Aviation Administration later on Wednesday to discuss Boeing, after visiting Boeing supplier Spirit AeroSystems (NYSE:SPR) to discuss quality issues. He plans to visit Boeing again in two weeks.

Jordan said he had heard Elliott may propose bag fees, but Southwest said its customer data shows that nearly 50% of its customers pick the airline because of its no-bag fee policy.

But he also told reporters that Southwest is considering changes to its open-seating policy and possibly adding premium seating or extra leg-room seats, Reuters said.

Southwest plans to unveil a "very broad plan" at an investor day in September, Jordan said.

LUV Price action: Southwest shares have risen 1.03% to $28.34 at the time of publication Wednesday.

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