The Schalke defender is out of contract in the summer and Liverpool have moved quickly to secure his services.
Liverpool manager Jurgen Klopp is an admirer of the strong and athletic centre back and according to Mirror, a deal is in place to bring him to Anfield.
Liverpool have struggled with their defence over the last few seasons and Klopp is looking to address his back four right away.
Adding someone like Matip will give the Reds some much-needed strength and aerial presence at the back. The Merseyside outfit have often been bullied at the back against teams that are powerful and good in the air.