The three rivals will have one race to determine lanes, then the final early on May 23 (NZT).
New Zealand's other Olympic hopefuls, the lightweight men's four of Duncan Grant, Graham Oberlin-Brown, James Lassche and Curtis Rapley, have 10 rivals for the two spots on offer.
They will have two heats, and two repechages to find the finalists.
But several of New Zealand's rivals can be discounted. China were in the A final of last year's world championship and they, with the Netherlands, were in the A final last weekend.
In Belgrade, New Zealand led through the first three-quarters of their repechage. They know they're not far off the mark.
A total of 28 boats will get Olympic selection in Lucerne, bringing to 550 the number of athletes, in 202 boats, to have qualified for London.
The most popular events at the regatta are the single sculls, with 22 in the men's and 17 in the women's.
If New Zealand do qualify the eight and the lightweight four, they will have 13 crews in the Olympics - all classes but one.
New Zealand have not tried to qualify for the women's eight.