Toast the sesame seeds: Preheat a small sauté pan over medium-low heat. Add the sesame seeds and cook, stirring occasionally, for 3 to 5 minutes, or until golden brown and fragrant. Watch closely, as sesame seeds can burn quickly. Transfer the toasted sesame seeds to a small bowl and let them cool.
Combine the dressing ingredients: While the sesame seeds cool, add the olive oil, vinegar, tahini, soy sauce, lemon juice, salt, and garlic to a blender.
Blend the dressing: Add the cooled sesame seeds and dried parsley to the blender. Blend until smooth and creamy.
Taste and store: Taste the dressing and adjust the seasoning if needed. Transfer to a jar and refrigerate for up to 1 week.