Truthful statements by an innocent personAn incriminating statement includes any statement that tends to increase the danger that the person making the statement will be accused, charged or prosecuted – even if the statement is true, and even if the person is innocent of any crime. Thus, even a person who is innocent of any crime who testifies truthfully can be incriminated by that testimony. The United States Supreme Court has stated that the Fifth Amendment privilege:
protects the innocent as well as the guilty.... one of the Fifth Amendment’s basic functions . . . is to protect innocent men . . . who otherwise might be ensnared by ambiguous circumstances..... truthful responses of an innocent witness, as well as those of a wrongdoer, may provide the government with incriminating evidence from the speaker’s own mouth.[27]
The U.S. Supreme Court has also stated:
Too many, even those who should be better advised, view this privilege as a shelter for wrongdoers. They too readily assume that those who invoke it are either guilty of crime or commit perjury in claiming the privilege.[28]
https://en.wikipedia.org/wiki/Self-incrimination#Truthful_statements_by_an_innocent_person