Apparatus and techniques relating to data interface power consumption control are disclosed. Components of a data transfer module may be selectively moved between their normal operating states and reduced power states at times when the data transfer module is not to be used for transferring data. Decisions as to particular components that are to be moved to their reduced power states may be based on respective timing characteristics of the components and/or respective power consumption characteristics of the components, for example. In some embodiments, an action may be performed to reduce a powering up time of the data transfer module when normal operation of the data transfer module is to resume. In the case of a multiple-connection interface having respective data transfer modules for each connection, the interface may be partially shut down by moving a subset of the data transfer modules into reduced power states.