The Evening Standard reports that the Blues will continue to pursue Pogba until the transfer window closes next week.
The France international midfielder reportedly has a £70million price tag.
Mourinho has concerns over current midfielders Nemanja Matic and Cesc Fabregas.
Mourinho feels Matic and Fabregas are not a quick or physical enough duo to form a strong midfield ahead of Chelsea’s backline.
The Blues have conceded seven goals in just three League games this season.