Boyfriend has a cold & we have a 3 week old baby

My boyfriend woke up this morning w a runny nose and it’s gradually gotten worse as the day & night went on. My baby is 3 weeks old & has already been stuffy & a little congested, but nothing like my boyfriend is & he’s sneezing tons. I’m afraid that if she catches what he has, she will be struggling to breathe. My question is, she sleeps in our room on my side of the bed in her halo bassinet, should we still be sleeping in the same room as him or should we try to stay away from him?