The present invention relates to a method and arrangement for reducing interference in a cellular communication network. A radio base station of the network is configured to serve at least a first cell, where interference is reduced by selecting a link adaptation scheme for a UE in the first cell, The arrangement comprises means for receiving measurements on estimated channel quality, means for estimating channel quality for a future transmission by adjusting the received measurements on estimated channel quality based on knowledge of future UE scheduling in at least the first cell, and means for selecting the link adaptation scheme comprising a transmit power level based on the estimated channel quality for the future transmission.