LeBron James breaking Kareem Abdul-Jabbar's scoring record won't silence his critics, so says his former teammate Michael Beasley ... telling TMZ Sports, "they gon' keep hating."

Remember, James is only a few points away from becoming the NBA's all-time scoring leader -- a record that Kareem has held for almost four decades.

You would think with such an accomplishment, the ones who doubt King James would come around ... but Beasley says that won't happen, even when he's crowned.

"They gon' keep hating," the former NBA power forward tells us at LAX this week.