No. 3 US carrier United Airlines also said it expects to cancel hundreds of flights during the peak summer season due to the groundings.
Executives said that they believe the Federal Aviation Administration will surpass the Max for flights before August 19.
In the event that the FAA approves the 737 MAX before other regulators, American Chief Executive Doug Parker said, "we will absolutely fly the airplane".
"It's real simple. We've just got the best people" he said in a CNBC interview. "That's our regulator", Parker said on a call with analysts and reporters.
Southwest exclusively uses Boeing 737 aircraft, but CEO Gary Kelly said its fleet lineup could change. Shortly after the Ethiopian Airlines crash on March, the Canadian airliner grounded its entire 737 Max fleet. Pilots were not able to counter the pitch.
Body of missing 5-year-old Illinois boy found
Freund said the family had also searched the neighborhood, local park and a gas station where he likes to buy the boy treats. A small memorial sits outside the home of 5-year-old Andrew "AJ" Freund , in Crystal Lake, Illinois, on April 24.
Boeing says it is fixing MCAS by connecting it to more than one sensor and making the nose-down thrusts less powerful. Though there is still disagreement about whether that education ought to be on computers, even as Boeing wants, or in flight simulators, as some labs favor it will also supply pilot instruction.
Ever since the entire Boeing 737 Max fleet of 24 jets was grounded on March 13, there have been passenger fears about how the Canadian airliners will handle increased flight demand during the summer season.
"We're doing a lot of work understanding what our customers perceptions are", said the airline's President Thomas Nealon. On a per-share basis, the Fort Worth-based company said it had net income of 41 cents.
Revenue climbed 1.8 percent to $10.6 billion, in line with expectations. In January, it predicted $5.50 to $7.50 per share. He awarded American "bronze elite status" among the nation's three biggest airlines because its pretax margins have lagged behind United for four straight quarters and Delta for 11 quarters.
Nevertheless, despite an overwhelming shadow casting over the fortune of the largest planemaker of the world, the Seattle-based company's share prices had rounded off the day 0.36 percent higher at $375.46, after tottering as much as 1.56 percent during the midday U.S. trading hours.