Kim Kardashian West
"Keeping Up With the Kardashians" star Kim Kardashian West, pictured Oct. 26, 2015. Getty Images

“Keeping Up With the Kardashians” star Kim Kardashian West and her husband, Kanye West, have been quiet about what they'll name their baby boy, whose due date is Christmas. She joked on “The Ellen DeGeneres Show” she might name him Easton, but there’s another name the reality star-turned-entrepreneur is considering: Lamar.

As her sister Khloé Kardashian’s husband, ex-NBA star Lamar Odom, recovers in a Los Angeles hospital from a life-threatening collapse, he reportedly asked Khloé if the Wests would name their son after him. “He explained to Khloé to tell Kim that the name symbolizes strength and courage,” an insider told Hollywood Life in an exclusive report Monday. “He also told her that the name is synonymous with being brave and a fighter, just like he is. He was dead serious, too, and he held Khloé’s arm while he told her this.”

Khloé Kardashian, 31, reportedly agreed to relay the message, “but so far, there’s no details about what Kim and Kanye have to say about the whole thing,” the anonymous person added.

But the story appears to be nothing but a fabrication, Gossip Cop, which debunks celebrity hoax stories, reported Tuesday. Kardashian West and her husband are not thinking about the name Lamar for their son, and Khloé Kardashian and Odom, 35, never had that conversation, the publication reported. The entire story is “false,” Gossip Cop wrote.

Lamar Odom drug use brothel owner
Former NBA player Lamar Odom reportedly asked his wife to ask her sister, Kim Kardashian, to name her next child after him. Getty Images/Harry How

Odom was found unconscious at a legal brothel outside of Las Vegas on Oct. 13. He remained in a coma until Oct. 16. He reportedly needs a kidney transplant and may have brain damage. It will be months before he recovers, reports said. Blood results showed there was cocaine in his system, law enforcement sources told TMZ. He could face criminal charges.

"I believe that Mr. Odom may be -- or may have been -- under the influence of a controlled substance," Nye County Sheriff's Detective Michael Eisenloffel told Fifth Judicial District Judge Robert Lane on Oct. 13, according to the search warrant records.

Follow me on Twitter @mariamzzarella