The change in personnel in Australia's line-up is understood to be anchored in selection decisions alone and is not injury-forced.
Nigar Sultana, the Bangladesh captain, won the toss and opted to bat on a surface that remained under covers through a considerable part of the lead-up to the start of play.
Her opposite number, Meg Lanning, said she would have opted to bowl first anyway, given the slightly overcast conditions at St George's Park.
Jonassen scored a duck in Australia's victorious first match of the tournament, against New Zealand on Saturday in Paarl. She conceded 11 runs in her solitary over during her side's successful defence of 173.
Bangladesh, who suffered a seven-wicket defeat in their opening game on Sunday against Sri Lanka, have made two changes, bolstering their legspin attack.
Lata Mondal and Jahanara Alam have made way for Fahima Khatun and Rumana Ahmed.
Australia are coming off a sole training session in Gqeberha heading into the game against Bangladesh.
Thirteen players from their T20 World Cup squad, along with Erin Burns who is not part of the touring party, made headlines on Monday after landing lucrative bids at the inaugural Women's Premier League auction in Mumbai.
Teams
Australia: Alyssa Healy, Beth Mooney, Meg Lanning (c), Ashleigh Gardner, Ellyse Perry, Tahlia McGrath, Grace Harris, Georgia Wareham, Alana King, Megan Schutt, Darcie Brown.
Bangladesh: Shamima Sultana, Murshida Khatun, Sobhana Mostary, Nigar Sultana Joty (c), Shorna Akter, Rumana Ahmed, Ritu Moni, Nahida Akter, Fahima Khatun, Salma Khatun, Marufa Akter.