The 53-year-old star shared the incident with his fans and followers on Twitter.
"So you finally settle down on your soft bed, with your softer littlest one and say, let's watch something new today...on @NetflixIndia... and this banner pops up!! And the littlest one quips...'papa it's not new...it's just you!!' Well," Shah Rukh tweeted.
Screen-shot of the tweet shared by Shah Rukh Khan.
The latest episode of the Netflix talk show "My Next Guest Needs No Introduction", hosted by David Letterman, was aired on Friday.
Shah Rukh's wife Gauri Khan also made an appearance in the episode which took fans of the actor inside his home, Mannat, and his lifestyle.
In the episode, the "Don" star also spoke about his other two children -- Aryan and Suhana.
SRK married Gauri in 1991, after a six-year courtship. They have a son Aryan (born 1997) and a daughter Suhana (born 2000). In 2013, they welcomed AbRam, who was born through surrogacy.