A second round of federal government spending to cushion the domestic economy from the shock of the global coronavirus pandemic is being contemplated just days after the initial $17.6 billion stimulus package was announced.

Prime Minister Scott Morrison is having "rolling" meetings with key cabinet ministers on Monday and Tuesday ahead of Tuesday night's National Cabinet meeting.

Scott Morrison is having "rolling" meetings with key cabinet ministers. Credit:AAP

Government sources said Mr Morrison was meeting with Treasurer Josh Frydenberg and Finance Minister Mathias Cormann to consider "further economic measures" and support the sudden escalation of the government's emergency response measures yesterday.

The decision to impose mandatory 14-day quarantine measures on all international travellers is likely to have major ramifications on the tourism and hospitality sector, including the major airlines, which is where a new economic package will likely target.