Filmmaker Anees Bazmee was due to start working on Hera Pheri 4 before Bachchan replaced Akshay Kumar in the final line-up.
A source told the Mumbai Mirror: "Abhishek told the producer Firoz Nadiadwala that he doesn't want to work with Anees. Firoz called up Neeraj Vora and asked him to direct the project.
"But Bazmee has written the script so he may be given the credit for it."
The director had reportedly expressed doubts about Bachchan's box-office power after Players failed to attract audiences. However, Bachchan's recent success with the comedy Bol Bachchan apparently made Bazmee want to cast him again.
The star of Dostana said recently that he has "great memories" of making the film which sees him playing an assistant to wrestling champion Ajay Devgn.
It was reported in May that the actor could be taking on the role of Hamlet in an Indian update of the Shakespeare play.