A Boeing 737-9 Max lands at Paine Field near Boeing's manufacturing facility in Everett, Washington. AP
Two sources close to the case told the media on Friday the flight could take place early the following week.
Neither Boeing nor the Federal Aviation Administration confirmed the flight when asked for comment on Sunday.
"We continue to work diligently on safely returning the 737 MAX to service. We defer to the FAA and global regulators on the process," a Boeing spokesperson told the media.
The MAX has been grounded globally since March 13, 2019, following an Ethiopian Airlines crash that killed 157 people. That catastrophe came just a few months after a Lion Air MAX crash that killed 189 people.
The troubling similarities between the two accidents, both of which occurred shortly after takeoff, along with the pilots' inability to regain control of the plane, led global aviation authorities to ground the model indefinitely.
For months, the US aviation giant has been struggling to get its medium-haul aircraft -- whose sales were its main source of revenue before the grounding -- back into service.
The model's anti-stall flight system, the MCAS, was partially to blame for both crashes. But other technical malfunctions, including one involving electrical wiring, were subsequently detected during the aircraft's modification process, slowing down its recertification.
For weeks, Boeing has been awaiting the green light from authorities to conduct test flights to prove the modifications provide maximum safety.Agence France-Presse
The company did not indicate when it first became aware of the problem, and whether it informed regulators.
Boeing failed to sell a single commercial airplane but saw orders for 108 planes canceled in April as a sharp drop in air travel erased any demand among airlines for new jetliners.
The Chicago-based company said some of the money will go toward living expenses and to cover hardship suffered by the families of passengers killed in the crashes.
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