As Australia is without the services of pacers Schutt and Tayla Vlaeminck and spinner Jess Jonassen, Perry is set reprise her new-ball role in the opening ODI.
Perry's compatriots Alyssa Healy, Meg Lanning and Rachael Haynes have also pulled out from the Hundred.
India and Australia are set to play a day-night Test from September 30 to October 3 in Perth as part of India's tour Down Under. The historic fixture will be Indian women's team's first pink ball game.
Perry, who tore her right hamstring during the Women's T20 World Cup in Australia in March, had hoped to resume against the Kiwis but aggravated the injury during training.
New Zealand will travel to Australia for three One-Day Internationals and as many Twenty20 Internationals in September.
Perry and Toomua got engaged in August 2014 and tied the knot in December 2015.
The T20 World Cup, slated to be held in Australia from October 18 to November 15, is under doubts amid the COVID-19 pandemic.
According to Perry, Western Australia Cricket Association boss Christina Matthews can be the one in the reckoning.
Perry missed out on the business end of the tournament due to a hamstring surgery but she does not regret it as the event was not just about her or her teammates.
Perry, in conversation with Sony Sports in an Instagram Live session, said that it was very kind of him to pick her name.
Perry's T20 World Cup campaign had ended after she tore her hamstring while attempting an athletic throw during their final group game against New Zealand.
Ellyse Perry injured her right hamstring while attempting a run out during Australia's final group match against New Zealand and was subsequently ruled out of the ongoing Women's T20 World Cup.
Ellyse Perry injured her right hamstring while fielding in the win over New Zealand on Monday which secured four-time champion Australia's spot in the semifinals.
Ellyse Perry missed Australia's main training session on Sunday afternoon due to a sore hip.
Australian opener David Warner won the Allan Border Medal for the year 2019 for his performances with the national team across the three formats.
Sachin Tendulkar faced six deliveries off Australia's Ellyse Perry and Annabel Sutherland during the Bushfire Cricket Bash on Sunday.
Bushfire Bash Ponting XI vs Gilchrist XI: Bushfire Bash Ponting XI vs Gilchrist XI, when and where to watch Sony LIV live Cricket tv online free stream, at Junction Oval in Melbourne.
Perry, who was named the Women's Cricketer of the Year for 2019, threw out the challenge on social media on Saturday afternoon via a video message.
The mural celebrates two of the world most celebrated 'Perry's' in Ellyse and Katy, who is also set to perform at the final of T20 World Cup in Melbourne.
Ellyse Perry took four wickets and scored 49 runs in the chase as Australia beat India by four wickets in the tri-nation series.
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