Sinn Féin has said it intends to submit questions to the assembly on Monday, in relation to the claims aired on the BBC.
It is the last scheduled week of assembly business before summer recess.
Sinn Féin assembly member (MLA) Deirdre Hargey said the programme raised “significant questions” around safeguarding within the DUP.
“Senior members, past and present, within the DUP have made public commentary which has further damaged public confidence,” she added.
“Sinn Féin will be submitting questions in the assembly on Monday as the public needs full transparency and accountability.”
Alliance leader Naomi Long said there must be a “fully independent and external” investigation, in order to restore public confidence.
“The allegations that senior figures within the DUP, and others in positions of trust, were aware of serious concerns about Jeffrey Donaldson before he became party leader are profoundly serious,” said Long.
“There must be full transparency around who knew what and when, what action was taken, and whether appropriate safeguarding procedures were followed.
“Public confidence cannot be restored through internal party processes alone. Only a genuinely independent investigation can establish the full facts.”
