Anthony Davis has been out since injuring his left index finger Jan. 18.
Haynes adds it is possible Davis remains out until Thursday's trade deadline passes, but there is also a high chance New Orleans elects to shut him down "to an extent" even after the All-Star Break.
Davis has been out with a left index finger injury since getting hurt against the Trail Blazers Jan. 18.
Last week, Davis requested a trade from New Orleans, but he said he plans to play once he is healthy.
Prior to the 109-107 loss to Indiana, coach Alvin Gentry told reporters Davis was "cleared to practice" but any decision on when he would return to game action was not up to Gentry.
"I don't make those decisions," Gentry told reporters.
The Pelicans play the Bulls Wednesday in Chicago in their last game before the trade deadline. They then have a back-to-back Friday and Saturday before playing two more home games next week before the All-Star Break.
With trade rumors swirling around Davis, the Lakers and Celtics have emerged as two of the leading suitors to potentially land the six-time All-Star. However, New Orleans is seeking more from Los Angeles than Lonzo Ball, Kyle Kuzma, Brandon Ingram and draft picks, and Boston is unable to trade for Davis as long as Kyrie Irving is on their roster because of their contracts.
The Pelicans are 23-31 on the season. They have lost eight of their last 10 games and are currently on a three-game losing streak.
In 41 games, Davis is averaging 29.3 points, 13.3 rebounds, 4.4 assists, 2.6 blocks and 1.7 steals.