"I have not been invited," he said. "Maybe that will make me write another play. I wish them well. I hope it's great."
Filming on the fourth movie began February in San Francisco, before it was halted the following month due to the coronavirus pandemic. Production later resumed in Germany.
Lana Wachowski, who wrote and directed the original trilogy with sister Lilly, is directing the fourth film solo. Along with Reeves and Moss, Jada Pinkett Smith is expected to return as Niobe. Also in the cast: Neil Patrick Harris, Yahya Abdul-Mateen II, Priyanka Chopra, Jessica Henwick and Jonathan Groff.
Speaking with New York Magazine, Fishburne said Morpheus is "probably the role that I'll be best remembered for, which is great." He added, "it's not the only thing I'll be remembered for, which is better."
"What I get with him is I've got Darth Vader in this hand, and I've got Obi-Wan in that hand," he said of the character. "I've got Bruce Lee, I've got Muhammad Ali shuffled in there, and I've got kung fu."
"The Matrix 4" was originally due out May 21, 2021, but was pushed to April 1, 2022 following COVID-19 filming delays.