Line a baking sheet with parchment paper.
In a microwave-safe bowl, melt the white chocolate chips in 30-second intervals, stirring in between, until smooth.
Dip each Oreo cookie into the melted white chocolate, ensuring it is fully coated. Use a fork to lift the cookie out, allowing excess chocolate to drip off.
Place the dipped Oreo on the prepared baking sheet. Repeat with all cookies.
In separate bowls, melt the red and blue candy melts with 1/2 teaspoon of vegetable oil in 30-second intervals until smooth.
Drizzle the melted red and blue candy melts over the white chocolate-dipped Oreos using a fork or a piping bag.
Immediately sprinkle the red, white, and blue sprinkles on top before the chocolate sets.
Refrigerate the cookies for about 30 minutes, or until the chocolate is firm.