Rockefeller said that CIA General Counsel John Rizzo and General Counsel John Helgerson will testify in the next week.
"They will be here very shortly," Rockefeller said, calling next week "the very latest" when the two men will testify.
Rockefeller also said that it was likely Jose Rodriguez, the former head of the CIA"s Directorate of Operations, who said he ordered the tapes destroyed on his own authority, will be called before the committee too.
The West Virginia Democrat also said he has not decided whether to seek testimony from John Kiriakou, a former CIA interrogator who told ABC News on Monday that Abu Zubaydah, a top al Qaeda terrorist, was waterboarded as part of his CIA interrogation. A tape of that interrogation was destroyed.
The Justice Department and CIA have already begun their own investigations into the destruction of the tapes, and Rockefeller said his panel would have to be careful not to interfere with any criminal probe by DOJ.
"We have to be very careful," Rockefeller said. There's a fine line because we're [members of the Intelligence Committee] are really hungry. I mean, all members were there today, and we've got to be careful that we don't get at cross-purposes with the Department of Justice." Rockefeller was referring to Hayden's appearance before his committee on Tuesday afternoon."