I agree with the suggestion. A 24V DC adaptor with 1 A or higher current rating should work, because it's essentially a constant voltage supply (similar to a 24 V battery) and the motor takes only the current it needs, usually less than 1 A.
The suggested replacement is surely a switched mode adapter, it behaves partly different than a transformer power supply, e.g. if the motor has a large inrush current. There's a certain risk that a switched mode adapter has problems to start the motor, but that's less likely a problem if the adapter has larger current rating. A practical test will be necessary in any case.