If you are referring to the PS3 sense pressure line, there can be loss of "automatic thrust control" as the FCU will attempt to adjust the fuel flow and hence shaft speed to the Thrust lever position, however, as the CDP (compressor discharge pressure or PS3) is an element required by the FCU To adjust the calculated fuel flow to the current air density at the combustor inlet, the FCU needs at least the inputs of the compressor inlet temperature (CIT
AND the compressor discharge pressure (CDP or Ps3) additionally to the N2 speed and the power lever input.
If the inputs are not available there is a potential for the engine to either operate outside the surge limits or flame out limits, in which case the crew would need to carry out the associated QRH or recall (memory items) and either operate with the engine shut down or manage within the limits (surge only).
Another video here for the tech heads!