Aspects of the disclosure can relate to a process for transmitting a pump-off pressure profile for formation integrity testing within a limited bandwidth. For example, a process may include measuring pump-off pressure data. The pump-off pressure data represents the pump-off pressure profile. The method also includes determining, from the pump-off pressure data, a pump-off pressure data portion corresponding to a formation integrity testing characteristic. The method also includes compressing pump-off pressure data portion with a compression protocol to produce compression bits. The compression bits representing the pump-off pressure data portion corresponding to the formation integrity testing characteristic. The method also includes transmitting, via a communication module, the compression bits to a computing device.