Mr Dorsey, who holds a reported 3% stakes, looks set to add up to $450m, around £300m, to his fortune from the event.
It is often the case that companies launch IPOs to sell a percentage of their shares to the public in order to make profit to buy back more shares.
Twitter officials has more than 215 million active members, a figure that increased by 44% from the previous year.
However the San Francisco-based blogging site announced earlier this year that the company had tripled its income in 2012 to $316.9m, but still lost $79.4m.
The company's revenue largely comes from advertising, with a reported 85% of profit coming from online advertising.
Advertising sales are expected to double over the next year if the IPO is a success.