Line a small baking sheet, tray, or plate with parchment paper and set aside.
Add the honey and oil to a small, heavy-bottomed skillet. Turn the heat to medium-low and cook for a few minutes, stirring often, until the mixture becomes bubbly and slightly thickened.
Add the walnuts to the skillet and stir to coat them evenly in the honey glaze. Cook for about 2 minutes, stirring occasionally. The nuts should look glossy and well covered—it's fine if there’s a little glaze left in the bottom of the pan.
Transfer the glazed walnuts onto the prepared parchment-lined tray, spreading them out into a single layer. Use a spatula to separate any clusters.
Allow the walnuts to cool completely. Once they’re no longer sticky and have hardened, transfer them to a jar or airtight container.