The tray can collect ordinary drips from dispensing, but repeated filling when nobody uses it needs investigation. Note when the water appears before assuming its source.
What the observation tells you
A glass withdrawn too early can leave water outside the tray, while a valve that continues dripping creates a different pattern. Do not remove the dispenser housing to watch the mechanism. Clean only the parts identified as owner-accessible.
A useful next step
Empty and dry the tray as instructed, then observe normal use without forcing the lever. If dripping continues between uses, stop using the dispenser and report the timing and tank level.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.