A spokesman for the judiciary confirmed that “the Ministry of Telecommunications is working on the question”.
“If we can establish a technical way in which people can use these services while at the same time criminal content is filtered out, then that will be done,” he said.
“The experts say it is possible,” he added.
Iran currently has a policy of filtering online content, which leaves popular websites such as Facebook, Twitter and YouTube inaccessible without the use of illegal software.
Internet censorship is a bone of contention between conservative hardliners and government members including President Hassan Rouhani who use social networks.
Official figures show that more than 30 million Iranians also use such applications.
Rouhani has said that Internet censorship is counter-productive, and one study showed that 69 percent of young Iranian Internet users use special software to get round the restrictions.
In May, the president vetoed a plan to ban WhatsApp after it was bought by Facebook founder and CEO Mark Zuckerberg.
In Iran, Zuckerberg has been dubbed the “Zionist manager” of Facebook because of his Jewish heritage.