Heat grill to medium high. Brush both sides of bread with olive oil and grill until both sides are toasted to your liking. Remove and cool slightly.
Spread each slice of bread with 1/4 cup hummus. Divide turkey among sandwiches and lay on top of hummus.
Heat honey in microwavable measuring cup until liquid, about 10 seconds. Grind a generous portion of black pepper into honey and swirl to mix. Drizzle over sandwiches and serve.