Northern Ireland should be wary of investigating historic cases of murder which took place during The Troubles as "they are in the past" and the public does not want "to go back to that".
Labour's Peter Hain told Good Morning Britain he did not think digging up the past would bring justice or closure to the victim's families.
"I do not think that going back 40 and more years in this fashion is actually going to take Northern Ireland forward, nor do I think, in the vast majority of unsolved cases, it will bring any sense of justice to victims."
Adams attacks reasons for his detention and denies McConville murder
It is claimed IRA volunteers described what happened the night Jean McConville was murdered to Boston College's "Belfast Project".