The 23-year-old Hoffenheim player would be an ideal replacement for Raheem Sterling, should he move to Man City as predicted.
The Echo claims that 'reports in Brazil this morning suggested a deal was already in place and although that is believed to be premature, the Reds are hopeful of securing a deal for somewhere between £25m to £30m.'
If true, Firmino, currently on international duty in the Copa America, could become the second most-expensie signing in the club's history behind Andy Carroll.