Chief Superintendent Gill Imery has told a press conference in Kelso that Police Scotland are aware that the three people killed at the Jim Clark Rally on Saturday may have had media accreditation.
However, she added that the investigation is still at an early stage.
Chief Supt Imery, joined at the press call by Justice Secretary Kenny MacAskill MSP, also appealed for spectators to send video footage or photographs of the collisions at the weekend to assist police in their investigations.
Mr MacAskill will give a speech to the Scottish Parliament on the incident and investigations tomorrow (Tuesday).