Bachchan had tweeted immediately after the incident on May 22 that he was only 20 feet away from the spot where motorcycle-borne assailants shot Raju Shinde, secretary of Shiv Sena's film wing.
Shinde survived the attack.
"We have found that Bachchan was quite far from the scene of the crime, not 20 feet as he had said," said Fattesingh Patil, Additional Commissioner of Police.
Minutes after the crime, Bachchan had tweeted, "Shooting at Film City... And a gang war shootout 20 feet from where we are ... !!1 dead .. Cops all over .."
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Bachchan had clarified in subsequent tweet that the man had not died but was only injured.
When asked if police would question Bachchan for the purpose of probe, Patil said, "If the need arises, we would definitely approach him."
Police have so far arrested six men in the case, saying that the motive was revenge as they had had a fight with Shinde, who works as a contractor in the Film City.