Organisers of a Black Lives Matter vigil in Hobart say the weekend event will follow social distancing regulations amid COVID-19.
Prime Minister Scott Morrison has urged people not to attend rallies around the nation because of the risk of spreading the virus.
Hundreds have registered their interest in attending a candlelight vigil on the lawns of Parliament House in the Tasmanian capital on Saturday afternoon.
"We invite you to enter and leave the space in a timely fashion," organisers wrote on the event's Facebook page.
"A station will be set up for you to write a message of love or support, and the space to light and leave a candle burning to honour our deaths in custody."
Assistant Commissioner Jonathan Higgins said Tasmania Police supports people's right to protest provided it is done legally.
"In the current climate, that includes following the coronavirus restrictions and social distancing measures that are still in place," he said.
""We are lucky to have a high level of community trust in Tasmania, and we don't take that for granted."
Vigils are also planned in the state's north at Devonport and Launceston.
Groups of no more than 20 are allowed to congregate outdoors in Tasmania under coronavirus restrictions.
"We acknowledge that the entire community feels the need to mobilise and offer support, action and solidarity," organisers wrote online.
South Australia has granted an exemption for a weekend rally, while NSW Police is taking court action to prevent a Sydney protest going ahead.
Rallies and vigils have been held globally after the alleged murder of US man George Floyd by a Minneapolis police officer.