In actual fact, he says the programme is thriving and is showing no signs of slowing down, which is good news to The Simpsons fans far and wide.
Fortunately, his claims have been disproved by Jean, who told Metro:
No disrespect to Mr Elfman, but we are producing season 32 starting next year and have no plans to end after that.
And Jean would know, having been part of The Simpsons team since 1992 and becoming its full time showrunner in 2001.
The debacle comes after Elfman told JOE:
Well, from what I’ve heard, it is coming to an end.
I don’t know for a fact, but I’ve heard that it will be in its last year.
All I can say is that I’m so flabbergasted and amazed that it has lasted as long as it did.
So, you have to realise, when I scored The Simpsons, I wrote this crazy piece of music, and I expected no one would hear it, because I really did not think the show had a chance in hell.
Really, I expected it would run for three episodes and get cancelled, and that would be that, because it was so weird at the time, and I just didn’t think it had a chance. So, believe me, that is one of the truly big surprises in my life.
But how wrong Elfman was, because The Simpsons so far has a record 665 episodes, and as Jean says, there are many more in the pipeline.
Anyway, it looks like the comedy cartoon is showing no signs of slowing down, which means Marge, Homer, Bart, Lisa, Maggie and the rest of the Springfield community will live to fight another day.
You can watch The Simpsons on Disney+ or Fox in the US, or on E4 in the UK.