Aspects of the disclosure can relate to a method for transmitting a pump-off pressure profile within a limited bandwidth. For example, a method may include selecting a compression protocol based upon at least one of a time length associated with the pump-off pressure data, a relative mean-squared error associated with the pump-off pressure data, or a maximum error associated with the pump-off pressure data. The method also includes compressing pump-off pressure data with the compression protocol to produce compression bits. The compression bits represent the pump-off pressure profile. The method also includes transmitting, via a communication module, the compression bits to a computing device.