Is it normal to sweat at night if you have a cold?

I started with a cold 4 days ago that hit me overnight and its been 5 days now and im feeling way better, still bit of a cough but nothing crazy like the first 2-3 days. My question is that is it normal to sweat at night even after this long...i am taking nyquil before i go to bed. I also am a heavy sweating person during the day. Is my body still fighting this cold off maybe that's why im sweating at night still? Even if i have a thin or thick blanket i still sweat...any ideas ?