"Bhoomi" was slated for a released on August 4 along with Aamir's home production "Secret Superstar", starring Zaira Wasim.
Dutt has requested his producers Bhushan Kumar of T-series and Sandeep Singh to change the release date of his film.
"I know the kind of hard work and effort that goes into making a film. I believe, after all the work being put in, it can't be reduced to a clash at the box office," Dutt said in a statement.
The final decision on the release date will be taken by T-Series and Legend Studios.
Directed by Omung Kumar, "Bhoomi" is a revenge drama and it stars Aditi Rao Hydari as Dutt's daughter.
"Secret Superstar", directed by Advait Chandan, narrates the story of a child who aspires to be a singer.