Former Brazil midfielder Jose Elias, who played 22 games for his country and is now a journalist for ESPN, insists Firmino is joining United.
Elias tweeted to his 16,000 followers that Firmino is set to undergo a medical at United.
The Hoffenheim midfielder, 23, is valued at around £20m.
He broke into the Brazil side last year and has won six caps for his country.
Empresários confirmam que Firmino vai fazer exames médicos na seleção para assinar com o Manchester united...
— José Elias (@zeelias05) June 9, 2015