Is ExxonMobil Stock Increasing Your Market Risk?

You hold ExxonMobil (XOM) alongside index funds, and in the last five sessions, the stock rose 2.7% as the S&P 500 fell 1.0%. You already own the market's risk through those funds, so a large ExxonMobil position is either more of it or an offset. Is ExxonMobil stock increasing your market risk.