Observing the image of a man studying under lamplight, the appropriate expression using "tener" would be "Él tiene sueño."
How to explain
This inference arises from the context of the man studying under a single light source, suggesting potential fatigue or drowsiness due to prolonged concentration. The act of studying intensively, particularly under low light conditions, often induces tiredness.
Therefore, it's reasonable to assume that the man in the picture might be experiencing sleepiness or drowsiness, implied by the phrase "Él tiene sueño," indicating his likely need for rest or sleep after a long study session.