Various communication systems may benefit from improved reduction of cross link interference. For example, certain embodiments may benefit from cross link interference suppression. A method, in certain embodiments, may include receiving, by a first network entity, at least one downlink precoder map from a second network entity over at least one interface. The method may also include estimating, by the first network entity, at least one basis of at least one common spatial sub-space associated with at least one, or all, identified BS-BS CLI source. In addition, the method may include for each reception associated with the first network entity, spatially projecting, by the first network entity, at least one interference rejection combining estimated interference covariance matrix into at least one orthogonal projector sub-space.