Can I bring a suitcase to the hamam?
Ask before arriving. A locker for personal belongings may not fit a suitcase, and luggage storage should not be assumed.

Related questions
Are lockers available for valuables?
Ask the venue about secure storage before arriving. Bring only what you need and keep the key or access method as instructed by staff.
Can I visit a hamam before my flight home?
Only if your schedule leaves enough time to change, collect luggage and reach the airport. Plan from your departure requirements, not just the treatment length.
What should I pack for a Turkish bath?
Pack swimwear if required, fresh underwear and personal toiletries. Ask whether towels and non-slip footwear are supplied; leave unnecessary valuables at your hotel.