However, Nash, who turned 40 this month and who has been sidelined by injuries for much of the season, has told friends he plans to retire after this season, the New York Daily News reported.
Nash has another year remaining on his contract that would pay him $9.7 million next season.
But Nash suggested he is not ready to retire.
"Right now I have no intentions to stop playing," he said, according to the Lakers' official website.
Nash has played in just nine games this season because of back and leg ailments and is averaging 8.2 points and 5.0 assists.
He returned to action February 4, but had to leave Sunday's game with a leg injury. Nash does not expect to miss any additional time, though.
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The Memphis Grizzlies have decided to take power forward Zach Randolph off the trade market, according to USA Today.
Memphis reportedly recently turned down an offer by the Phoenix Suns.
Randolph is a possible free agent this summer as he can opt out of his contract. He has said he wants to stay with the Grizzlies but has not officially decided if he will remain with the team or opt out of his deal.