If the Wizards sign unrestricted free agent David West, Nene could be available for a trade.
The Wizards are not expected to trade Nene, two sources told CSN Washington.
Nene said he would be okay with coming off the bench next season.
Nene had nine points, six rebounds and three steals on 4-of-11 shooting in Wednesday's loss to the Hawks.
Nene snapped out of his funk on Saturday against the Hawks with 17 points, seven rebounds, four assists and one steal in 30 minutes.
Nene, who went scoreless in 17 minutes on Sunday, finished the Wizards' Game 2 loss with two points, four rebounds, one assist, four turnovers and zero defensive stats.
Nene said he's willing to accept a lesser role if it means greater success for the Wizards.
Nene missed all four of his shots during Sunday's Game 1 victory over the Hawks, coming away with just three rebounds, one steal and two turnovers through 17 minutes of action.
Nene scored 12 points with 13 boards, one assist and one steal in 21 minutes against the Raptors on Saturday.
Nene (shoulder, ankle, foot) will start vs. the Raptors on Saturday.
Nene (shoulder, ankle, foot) practiced on Thursday, and head coach Randy Wittman said that he will play when the Wizards kick off their series against the Raptors on Saturday.
Nene (shoulder, ankle) will not play against the Cavs on Wednesday.
Nene (shoulder, ankle) will not play Tuesday vs. the Pacers.
Nene's shoulder and ankle injuries didn't prevent him from scoring 14 points and grabbing 10 rebounds on Sunday, marking his second double-double of the season.