Hoffman was nearly done shooting his scenes in the movie when he died Feb. 2 of a suspected heroin overdose. He was 46.
The Post said film editors will use computer graphics and camera tricks instead of writing Hoffman's character Plutarch Heavensbee out of the script.
"You can do digital things, you can have conversations where you're not focusing on him but the people he's talking to," a Lionsgate insider told the Hollywood Reporter.
The film is set for a 2015 theatrical release.