WATCH: Jason Pierre-Paul Posts Video Of Workout Sans Index Finger

NEW YORK (CBSNewYork) -- When will Jason Pierre-Paul play again?

It's anybody's guess.

Giants head coach Tom Coughlin announced last week that the defensive end -- who had his right index finger amputated following a Fourth of July fireworks accident -- was not ready to play, and that there was no timetable for his return.

On Tuesday, ESPN reported that the two-time Pro Bowler is missing the tip of his right thumb.

The network also reported that some in the Giants organization have serious doubts about whether the 26-year-old will be able to play this season.

Perhaps in response to the headlines, JPP posted a workout video on Instagram. In the short clip, Pierre-Paul is seen sprinting with weights tied around his waist. His right hand is bandaged.

Pierre-Paul has not signed his $14.8 million franchise tender. If he does sign it, the Giants are expected to place him on the non-football injury list. Doing so prevents New York from having to pay the former first-round pick until he is ready to play.

Pierre-Paul recorded 77 combined tackles, 12.5 sacks, three forced fumbles and a fumble recovery in 16 games for the Giants in 2014.

After losing the first game of the season to the Cowboys in painful fashion, the Giants will host the Falcons at MetLife Stadium on Sunday.