A method of operating a magnetic resonance imaging system (10) with regard to acquiring multiple-phase dynamic contrast-enhanced magnetic resonance images, the method comprising steps of acquiring (48) a first set of magnetic resonance image data (xpre) prior to administering a contrast agent to the subject of interest (20), by employing a water/fat magnetic resonance signal separation technique, determining (52) a first image of the spatial distribution of fat (Ipre) of at least the portion of the subject of interest (20), acquiring (50) at least a second set of magnetic resonance image data (x2) of at least the portion of the subject of interest (20) after administering the contrast agent to the subject of interest (20), by employing a water/fat magnetic resonance signal separation technique, determining (54) at least a second image of the spatial distribution of fat (I2ph) of at least the portion of the subject of interest (20), applying (56) an image registration method to the second image of the spatial distribution of fat (I2ph) with reference to the first image of the spatial distribution of fat (Ipre) for correcting a potential motion of the subject of interest (20); and a magnetic resonance imaging system (10) having a control unit (26) that is configured to carry out steps (56-64) of such a method; and a software module (44) for carrying out such a method, wherein the method steps (56-64) to be conducted are converted into a program code that is implementable in a memory unit (30) and is executable by a processor unit (32) of the magnetic resonance imaging system (10).