The minister says the conversation between both parties has been respectful, as reported by Peoples Gazette.
In June, Mr Buhari announced the indefinite suspension of Twitter after the microblogging site deleted one of his tweets.
Information minister Lai Mohammed said Twitter has accepted most of the conditions laid down by the federal government.
The Nigerian government abandoned its Twitter account with over a million followers, for the Indian copycat version known for promoting hate and anti-Muslim rhetoric.
The suit joins President Buhari, AGF Malami, and the National Broadcasting Commission (NBC) as defendants.
Mr Buhari’s image was featured on Koo’s social media advert with the app promising to provide “exclusive updates from him only on Koo App!”
The U.S. authorities have arrested a 22-year-old man for hacking into at least 130 Twitter accounts, mostly belonging to politicians and celebrities.
The UK and Nigerian governments have met over issues bordering on President Muhammadu Buhari’s Twitter ban, terrorism, and the Petroleum Industry Bill (Bill).
The House of Representatives on Thursday rejected a motion to lift Twitter ban in Nigeria. Speaker Femi Gbajabiamila had earlier said the House supports the ban.
Speaker Femi Gbajabiamila says federal lawmakers support President Muhammadu Buhari’s Twitter ban to protect national security.