Musk said that businesses and governments may need to pay a light cost to use the social media platform after he announced he was buying it.
The billionaire added in a post that the platform will be free for casual users.
It's not clear how much Musk would like to charge businesses and governments, or whether certain groups would be exempt from any imposed fees.
When contacted by CNBC, the social networking site declined to comment.
Over the years, the social media platforms have made more money, but not as much.
Musk, who has 90.7 million followers on the micro-messaging service, wants to make it better by adding new features.
In the U.S., Canada, Australia and New Zealand, there is a paid-for subscription service called Twitter Blue.
The premium offering gives users access to features such as undoing and bookmarking. Musk said last month that he wants to cut the price of the service and introduce a ban on ads.
Musk has said that all of the direct messages on the social network should be end-to-end secure.
At the Met Gala on Monday, Musk said that he wants to get rid of the fake accounts on the platform.
He said that they don't want people getting tricked out of their money.
Musk wants to take the company private, but it is listed on the New York stock exchange.
According to a report from The Wall Street Journal Monday, Musk has told investors that he may return to the public stock market in three years.
Assuming the acquisition deal closes and Musk takes ownership, the company will be controlled by the world's richest person and someone who has been a heavy critic of the platform while using it in legally contentious ways.
Musk's control over the platform will result in the suppression of their voices and others with whom he is associated, which is why he has indicated that his primary interest in the platform has to do with what he views as the company's censorship of free speech.
Musk spoke about how he would like to see the platform change under his ownership at the conference.
He acknowledged that some content moderation would be needed to deal with explicit calls to violence and ensure the service complied with.
He said he would prefer time-outs to permanent bans, which would suggest a path for former President Donald Trump to rejoin the platform under Musk's control.
CNBC has additional reporting by Lauren Feiner.