Directed by late Rajesh Pillai, 'Traffic' is a remake of a 2011 Malayalam film of the same name.
Bajpayee, who plays the role of a traffic police constable in the film, said it was nice of Salman who had tweeted about the trailer.
"It's overwhelming to see the response the trailer has received. It was very sweet of Salman to tweet about looking forward to watching our film... We are more than happy to arrange a special screening for him," Bajpayee said in a statement.
The drama-thriller is inspired from an actual event that happened in Chennai where a doctor couple donated organs of their 15-year-old son who died in a road accident.
The young boy's heart was transported to another hospital for a girl who required heart transplant. The journey, which would've taken close to 45 minutes with traffic, was completed in 11 minutes as the police cleared the way and gave green signal for the ambulance to pass.
'Traffic', also starring Jimmy Shergill, Prosenjit Chatterjee, Parambrata Chatterjee, Divya Dutta and Amol Parashar, is scheduled to release on May 6.