How long can a baby go without sleeping? My son's sleep is getting worse and worse. He is 4 weeks old, and had a bad night last night. Now, he hasn't slept today either. Usually he'll sleep some during the day. He slept one hour this afternoon from 3 to 4 p.m. It is now almost 8 p.m, and my husband is desperately rocking him, trying to get him to go to sleep. I'm worried about him. It doesn't seem normal for a baby his age to go so long without sleeping.