Air suspension / air suspension does not work at minus degrees

Hello together, With my XC90 II, MY2016 with approx. 120,000 km the air suspension does not work in the morning as soon as it has negative degrees. When starting it pumps up in the front, but not in the back, error message regarding suspension appears however only after some time. After some time warm running, it works again (offroad mode pumps it up). Until then it feels as if the rear axle is not at all springed and I guess these rides do not do the thick either. After I told the friendly one, he wants to replace the compressor, costs around € 1,600,-. Does someone know the problem and still have alternative solutions? Thank you! Oliver