They qualified with a margin of two points over defending Olympic and world champions China on a day that exceeded all expectations.
'One of the things we say in our team is not to worry about what other people do,' Smith said.
'We try to focus on what we want to do. We know what we're capable of. We're going to go out there and enjoy it. I think we've exceeded expectations already.'
The scoring system changes for the final, with three gymnasts from every team competing on each piece of apparatus with all three scores counting towards the overall total.
It means there is no margin for error, and Purvis, who also qualified for the Individual All-Around final, believes it is dangerous to write the reigning champions off.
'I'm sure China will turn it on in the team finals', he said.
'China are the world champions. They're awesome... so I think they will hit their routines good on Monday.'