A ZAB Center Controller reported they had to request the Operations Manager to coordinate ceasing intentional GPS jamming so a medical flight could conduct a RNAV approach to LRU.

Narrative

We had military GPS Jamming in effect and airports were reporting IMC/IFR conditions. Aircraft X was a Medevac aircraft that needed to fly the RNAV approach into LRU but did not have a GPS signal due to the Jamming. I called the OMIC (Operating Manager in Charge) to have them stop the jamming so that the aircraft could get into LRU safely. The response was 'I will try' and asked for 'how long'. I gave an estimate to the best of my ability. OMIC called me back and said; 'They are going to stop until XA40'. I was watching the time and still did not have a cancellation from the aircraft at around XA35'. I called the OMIC back and [indicated] that I needed more time before they started jamming again. Got an extension. I then had an aircraft call me for an IFR departure from the same airport. I called the OMIC back again and said I needed even more time. Asked me how long and I said I was unsure.The back and forth between the OMIC and myself was not necessary and did not follow the GPS Jamming procedure in the SOP. The procedure is to stop the jamming then to tell the proponent when they can start again. If I would have not watched the clock and asked for an extension when Aircraft X was on approach; lives could have been lost. I recommend that the ZAB management team is rebriefed on GPS Jamming Procedure in the SOP and also briefed on an annual basis. A meeting with ZAB and Terminal Service would be beneficial.