You really need to ask them for more time to consider their offer so you can $(FILL_IN_FROM_BELOW).
Make sure you have a reason which makes sense - some good and valid reasons are to:
- Discuss with family
- Ensure it is the proper career move
- More thoroughly consider their offer
- Ensure all required lifestyle changes are in your best interest (kids, relocation, etc)
You really don't want to give the impression that you are just shopping aroundnot seriously considering their offer because you are waiting for other offers.
If you have only one week, you could phrase your request, "is it possible I could get back to you by $(DATE_IN_FUTURE), I have to $(FILL_IN_FROM_ABOVE) first and I'm not sure one week is enough time to do so?"
And whatever you do, don't lie about your reasons.