In this article, we examine the hedging and safe-haven properties of Bitcoin against crude oil implied volatility (OVX) and structural shocks using a dummy variable GARCH and quantile regression model. In addition, we also compare the hedging and safe-haven performance of Bitcoin with gold, commodity and US Dollar. We conclude that Bitcoin is not the superior asset over others to hedge oil-related uncertainties. Besides, hedging capacity of different assets is conditional upon the nature of oil risks and market situation. Thus, investors may prefer different investment instruments to hedge downside risks in different economic situations and market states.