Mourinho, 63, joined the Portuguese giants last September, but despite not losing a league game, the side still sit in third.
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Following their 1-1 Liga Portugal draw with Casa Pia, their ninth of the season, Benfica president Costa insists that Mourinho is still the right man for the job.
"Jose Mourinho has a contract for another year, it is not an issue at this moment,” Costa told reporters.
He also highlighted the strong internal unity, adding: "We are in sync."