Comey, who was running the FBI's investigation into possible collusion between associates of the president and Russians seeking to influence last year's election before he was fired on May 9, says Trump pressed him to drop the inquiry into former national security adviser Michael Flynn.
After the May 12 tweet, Comey shared notes he made after meeting with Trump through a friend who leaked them to The New York Times.
House members running their own Russia investigations sent the White House a letter asking the White House to submit any tapes by tomorrow.
When Comey testified this month he welcomed the prospect of recordings which he said would back up his notes.
"Lordy, I hope there are tapes," he said.
Following that testimony Trump said he would responded on whether there were recordings made but said "Oh, you're going to be very disappointed, don't worry."