Final answer:
The client understands the procedure when they state that they can expect to feel sleepy for several hours after the procedure.
Step-by-step explanation:
The nurse should verify that the client understands the procedure when the client states, ”I can expect to feel sleepy for several hours after the procedure.” This statement shows that the client understands that moderate sedation will be used during the bronchoscopy procedure, and feeling sleepy is a common side effect of sedation.