Perrottet said the length of the NSW COVID-19 lockdown had prompted the changes.
“A lot of kids have missed it because we’ve been closed for the last three months,” he said.
Originally, the First Lap program had been open only to preschoolers.
But this year and next year, Mr Perrottet said, children enrolled in kindergarten will also be eligible.
The cost of First Lap has been expanded to $ 54 million over the next two financial years.
How do I get the vouchers?
From 1 December, parents or guardians of children enrolled in preschool or kindergarten will have access to the First Lap program via the Service NSW app.
NSW Customer Service Minister Victor Dominello said the app allowed voucher holders to research a range of swimwear providers.
Swimming organizations can register as lesson providers from November 1st.
Dominello said people could also access the program online or in person at a Service NSW service center.
Why do we have to wait until December?
Sports Minister Natalie Ward said the program had been put forward, but there were still questions about why parents should wait until close to the end of the year.
Perrottet said it was simply a matter of making sure the First Lap program worked and was easy for people to use.
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How many vouchers is a family entitled to?
In the original announcement, it was made clear that each eligible child would receive a $ 100 voucher.
Especially with the extension of the eligible age range, this may see families receive more vouchers.