Jason Pierre-Paul and the New York Giants have a disagreement over his readiness to play just weeks after losing a finger in a fireworks accident.

Pierre-Paul underwent a team physical Monday and met with members of the organization so they could evaluate him medically and made an informed decision about his status. But the two sides parted Tuesday without the player signing his one-year, $14.8 million franchise tender -- a number being applied to the Giants' salary cap even though they don't have the player on the field.

"Probably not going to happen in the near future," a source involved in the discussions between the player and the team said in a text. "Probably will wait until he gets fully ready."