An actual letter of acceptance can take awhile to reach an employee. There are many reasons for this, including beurocratic obstruction, people losing paperwork, or just bosses being slow.

A week is not anything to worry about.

What you should be doing, regardless of how long it takes, is continuing to interview and look for jobs. Just because you've been told by your interviewer that you 'have a job', doesn't mean things can't change between now and then.

Keep looking for work. Keep in mind while looking that you have a promising opportunity to be accepted to this position, but keep looking anyway because things can always go wrong.

Tactfully of course. There's no reason you have to mention any oddity to the employer. Just keep going about your business as you normally would.

An actual letter of acceptance can take awhile to reach an employee. There are many reasons for this, including bureaucratic obstruction, people losing paperwork, or just bosses being slow.

A week is not anything to worry about.

What you should be doing, regardless of how long it takes, is continuing to interview and look for jobs. Just because you've been told by your interviewer that you 'have a job', doesn't mean things can't change between now and then.

Keep looking for work. Keep in mind while looking that you have a promising opportunity to be accepted to this position, but keep looking anyway because things can always go wrong.

Proceed tactfully, of course. There's no reason you have to mention any oddity to the employer. Just keep going about your business as you normally would.