The workers maintain the company could easily fund their demand for four weeks of redundancy payments.
The workers have been locked in dispute with the store’s liquidator KPMG over redundancy terms.
Jane Crowe, a former shop steward at the Henry Street branch in Dublin, said they need public support in their campaign.
She said the Debenhams website is still operating with an Irish address, even after the liquidation of their Irish operations.
“They still advertise as ‘.ie’, which [makes] people think the money is coming to the Irish stores but it’s not. So we are asking everyone to boycott buying from Debenhams online, whether it is ‘.ie’ or ‘.com’.
“Ireland is going through an awful lot at the moment with the pandemic. Shop Irish, keep the shops that are physically open in the country, keep those jobs going in Ireland and shop within Ireland,” said Ms Crowe.
The shop steward said any delivery workers who handle the packages of merchandise will be effectively crossing their picket line.
“We’re calling on people, it’s UPS that does the deliveries, sometimes they arrive out to people’s houses in taxis actually.
Explainer: why are former Debenhams workers picket…
“They know it’s from Debenhams, the packaging is branded from Debenhams, so we would be asking them not to put their hands on it.
“That in itself would be crossing our picket,” said Ms Crowe.
The Debenhams workers will rally at the Dáil on Tuesday afternoon following their 222nd night on the picket lines blocking the removal of stock from the closed stores across the country.
A Facebook event publicising the event has reminded people planning to attend the event to maintain social distancing due to Covid-19.