"I believe it's really important to hear directly from our leadership," he told NBC's "Sunday Today" in an interview which airs Sunday. A preview was posted online Thursday.
It's critical to hold leaders accountable and conversations should be held "out in the open rather than have them behind closed doors," Dorsey said.
"If we were all to suddenly take these platforms away, where does it go? What happens?" he asked. "It goes in the dark, and I just don't think that's good for anyone."
Trump faces constant criticism over the way he uses Twitter to goad, insult and trash political opponents, celebrities and basically anyone else he disagrees with.
And in March, Trump tweeted ― without evidence ― that former President Barack Obama had ordered wiretaps on Trump Tower ahead of the 2016 election.
Trump's controversial Twitter habits prompted Sen. Cory Booker (D-N.J.) to last week urge the president to harness the service to help "elevate the conversation."
"Be a uniting force, not a dividing force," Booker said in a Vox video. "Be an elevating force, not a degrading force."
So far, however, Trump appears to be ignoring the advice.