Interview question?

My husband just had a interview for a really good job. It was a screening interview over the phone. There's a second interview, but my husband said that they said that they will let him know within a week if he got the second interview. I feel like that's a bad sign. I thought after the first interview they will automatically invite you to a second interview if they like you. Is that true? Maybe I'm worrying too much. Can he still be eligible for the second interview?