1. A method for making a perfusion measurement by magnetic resonance imaging, comprising the steps of: positioning an examination subject in an imaging volume of a magnetic resonance apparatus and, using said magnetic resonance apparatus, generating image datasets of a region of said examination subject in a time sequence; identifying positional changes of said region which occur relative to said imaging volume during said time sequence; and correcting influences of said positional changes on said image datasets dependent on the identified positional changes.