Television images showed James Anderson pressing his thumb into the ball and with England getting the ball to reverse swing early, there were suggestions that the tourists had illegally altered its condition.
However, Bayliss told reporters there was nothing in the claims and that the match officials had confirmed that no action would be taken.
"Well, it's a beat-up," he said. "As soon as I saw the headlines, I raced into the umpires and those were their words actually, 'nothing to worry about, it's a beat-up, you're absolutely fine'. That's as much as I know.