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I consider the COBE data coarse-grained field that characterize the nowobservable universe for a model of warm inflation which takes into account thethermal coupled fluctuations of the scalar field with the thermal bath. Thepower spectrum for both, matter and metric fluctuations are analyzed. I findthat the amplitude for the fluctuations of the metric when the horizon entry,should be very small for the expected values of temperature.Comment: 5 pages, no figure

LETTER: Warm Inflation: Towards a Realistic COBE Data Power Spectrum for Matter and Metric Thermal Coupled Fluctuations