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Based on EUV observations of eleven sunspot regions obtained with the Coronal Diagnostic Spectrometer, CDS, on SOHO we have studied the spatial distribution, temporal variation and wavelength shift of the Hei λ584 line. We find a relatively high spatial correlation between the coronal line Fexvi λ360 and the Hei λ584 line. This points to coronal back-radiation as an important contributor to the formation of the Hei line in active regions. However, contribution to the line formation from another source is suggested by the following two findings: First, the red-shifted line profiles of both Hei λ584 and the transition region lines tend to be more intense than blue-shifted profiles. Second, the Hei λ584 emission changes significantly faster than the coronal line emission.[PUBLICATION ABSTRACT]