The present invention presents a method that effectively restores the real-time advantage of annular pressure while drilling (APWD) measurements taken during certain drilling operations that require the mud circulation pumps to be turned off (a “pumps-off” condition). APWD data, such as pressure measurements, is obtained from instruments and related electronics within the BHA. APWD data can be measured, stored and even processed in the BHA during a pumps-off condition for subsequent processing or communication of a reduced amount of data to the driller at the surface.