In that episode, Beckham was recorded, before cameras, microphones and onlookers, counting out bills and passing them to L.S.U. players. The university, which had initially believed the bills to be novelty currency, said Wednesday evening that it was coordinating with its players and regulators “in order to rectify the situation.”

“We were in contact with the N.C.A.A. and the SEC immediately upon learning of this situation in which some of our student-athletes may have been placed in a compromising position,” L.S.U. said in a statement on Wednesday.

Joe Burrow, the L.S.U. quarterback who won the Heisman Trophy last month, told the podcast “Pardon My Take” that he had received money from Beckham sometime after the game.

“I’m not a student-athlete anymore, so I can say yeah,” said Burrow, a graduate transfer whose eligibility ended with the game and who could be the top pick of the N.F.L. draft in April.

Justin Jefferson, another player who appeared to receive money from Beckham, announced Wednesday that he would enter the draft. But L.S.U. could still face some repercussions from the N.C.A.A.

Victor Mather contributed reporting.