The Brazilian was spotted telling Chelsea officials that he wouldn't be needing a lift home as it would be just as quick for him to walk to his apartment near Craven Cottage.
Sky Sports News reporter Andy Burton took to Twitter to share the news: "A 1st for me covering the Premier League. Have just seen Oscar tell officials he doesn't need to find the team bus as he's walking home!"
Oscar played 78 minutes of the west London derby after recovering from an ankle injury that had kept him on the sidelines in recent weeks.
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