Boeing (BA - Get Report)  said the 96 test flights, with more planned, for its beleaguered 737 MAX featured a new software update that Boeing says fixes issues that could have contributed to the two deadly flights in Ethiopia and Indonesia within six months.

CEO Dennis Muilenburg said that Boeing has made 96 test flights totaling over 159 hours of airtime with the updated software. 

The tests come ahead of a key meeting with Federal Aviation Administration officials on Friday. CNBC reported that the company will submit its 737 MAX fixes to the FAA within the next two weeks. 

Southwest Airlines (LUV - Get Report) doesn't seem too impressed with Boeing's efforts to fix the issue that has resulted in the plane being grounded by governments around the world. The airline said Thursday that it will remove its 34 Boeing 737 MAX jets from its flying schedule through Aug. 5.

The move will result in about 160 daily flight cancellations during its revised summer schedule. Southwest President Tom Nealon said that the decision will "increase the reliability of our schedule and reduce the amount of last-minute flight changes."

Boeing shares were rising 1.7% to $374.65 in trading.