Southampton goalkeeper Gavin Bazunu denied the striker late on in Fulham’s win over Southampton, leaving Mitrovic’s record at scored three, missed two for the campaign.
Ahead of facing Leicester away on Tuesday, Cottagers boss Silva insisted he has total faith in the Serbian.
He said on Monday: “[Mitrovic]’s the main [penalty-taker] until now, and the next one, he will be there again to take the penalty.”
Mitrovic has scored ten goals in 14 games for Fulham this season, helping the newly-promoted side to seventh in the table after back-to-back wins since the restart.
With the January transfer window now open, Silva was asked what he would say to any club interested in the 28-year-old, and replied: “That I'm really pleased to have him with me since I joined, he's really happy here as well.
“We are in the beginning, or in the middle of a process. And some positions are impossible for us to change.”