The black boxes from the crash have been recovered and an airline spokesman said they would be sent to Germany for analysis.
The Foreign Ministry, the National Security Council and the Israeli Consul in Ethiopia Ofer Zach are attempting to obtain approval to receive complete access to the crash site and the onsite morgue for the volunteers, so that they may do their job swiftly and effectively.
The task team will include the South African Civil Aviation Authority, the Air Traffic Navigation Services and South African search and rescue members.
The 737 Max 8 continues to fly in North American skies, but faces grounding orders or airspace bans from all of Europe as well as Australia, China and other countries in the wake of Sunday's crash.
The Ethiopian government is already taking preventive measures by announcing on Monday its decision to indefinitely ground all its Boeing 737 Max 8 planes.
Trump did not refer to Boeing or recent accidents, but his comments echoed an automation debate that partially lies at the centre of an investigation into October's Lion Air crash in Indonesia.
The agency says there are 74 Boeing 737 Max 8 and Max 9 planes registered in the US, with 387 worldwide.
USA and Ethiopian aviation safety officials discussed on Tuesday whether the flight data and cockpit voice recorders from Ethiopian Airlines flight 302, which crashed on Sunday on a flight to Nairobi, would go to Washington or London for download and analysis.
Suspension by respected European regulators was the worst setback yet for USA planemaker Boeing in the wake of Sunday's crash and put pressure on the United States to follow suit. "In fact he was allowed to turn back", he said.
U.S. President Donald Trump, an aviation enthusiast whose ties with Boeing run deep, received safety assurances personally from its chief executive Dennis Muilenburg. "They really have a close working and regulatory relationship with Boeing", he said.
Ethiopian Airlines made the announcement on Tuesday, acknowledging that the identification of some victims will take much longer due to the impact and ensuing fire.
In both the Lion Air and Ethiopian Airlines crashes, the airplane immediately showed signs of trouble, with an erratic flight path that ascended and then descended before the airliner crashed minutes later.
But October's Lion Air crash in Indonesia sparked a debate on automation, particularly over a software system created to push the plane down to stop a stall during flight.