But the report claims Monaco star Radamel Falcao remains Chelsea's first-choice striker target.
Chelsea are expected to be active in the January window, with a new striker thought to be a pressing priority for Mourinho.
Samuel Eto'o, Fernando Torres and Demba Ba have just three Premier League goals between them this season, and there's a feeling the struggles in front of goal are undermining an otherwise strong squad.
Radamel Falcao has been a long-term target for the Stamford Bridge club, but speculation cooled following his big-money summer move to Monaco.
But the former-Porto star has been linked with a move again in recent weeks, with Chelsea reportedly alert to his availability.
He remains Mourinho's first-choice - and it's no surprise as the Colombian forward has bagged a sensational 61 goals in 80 league appearances for Atletico Madrid and Monaco since 2011.
But Chelsea may settle for his slightly cheaper international teammate. Martinez, who replaced Falcao at Porto, has a similarly impressive goal record and a €40m release clause.
He's under contract until June 2016, but his representative is reportedly in London to hold talks over a move from the Portuguese giants.