The present invention relates to a process and to a unit for drying and compressing a CO2-rich stream. The CO2-rich fluid is compressed in a compressor; upstream of the compression step, an antifreeze is mixed with the CO2-rich fluid containing water; the CO2-rich fluid containing the antifreeze is cooled, water is separated from the cooled fluid and the water-depleted cooled fluid is compressed in the compressor; and the CO2-rich fluid containing water is sent to a scrubbing column fed with a water/antifreeze mixture, where it cools and is separated from the water.