The former Chelsea and Inter Milan coach is being linked with Benfica for next season.
Record says Mourinho cancelled a visit to the stadium in order not to stir up further unrest among the Eagles.
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The 61-year-old had originally planned to watch the match against Olympique Marseille (2:1) on Thursday at the Estdio da Luz.
However, Mourinho did not want to send the wrong signals and stayed away from the first leg of the Europa League quarter-finals.
Benfica's head coach Roger Schmidt has been under pessure this season, which has led to Mourinho being considered as a successor.