"I think 'everyone' should shut up and let the Central Bureau of Investigation do its job. Any kind of jibes or smarta**y remarks towards each other is unnecessary," Gulshan tweeted.
His post comes after the ruling of the Supreme Court that ordered a court-monitored CBI probe into the death of Sushant, who was found dead in his apartment in Mumbai on June 14.
"As actors, somewhere deep down inside, we think we know why he did it and that's why it (is) so disturbing, even if you didn't know him at all," he continued.
"In case you didn't know, Bollywood has no shortage of aggressive alphas and peacocks. No it's not gender specific. Successful people often fictionalise their success (like saying hard work, blessings etc). The ones who have failed will bare themselves to you and there is much to learn from that," added the actor.