The proposals, which were preliminary and have yet to be endorsed, were made by the coordinating ministry for maritime affairs and investment and would apply from July 3 to 20, on the islands of Bali and densely populated Java.
The document recommends critical sectors remain open but for malls to close and a work from home policy for non-essential workers.
It suggests reduced public transport capacity and requirements of vaccines or COVID-19 tests for domestic air travelers.
Jokowi also pledged to expedite vaccinations to one million doses per day in July and two million in August, up from what he said was about 200,000 to 300,000 a day at present.
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"There is no bargaining", Jokowi added.
Just 13 million people have received two vaccine shots in Indonesia. Of its more than 270 million people, 181.5 million are targeted for immunisation.
The president had previously resisted calls from health experts for a full lockdown and warned last week that curbs should be implemented that avoid "killing" the economy.
But Hasbullah Thabrany, chief of the Indonesian Health Economic Association, said more comprehensive measures were necessary and the economy would not suffer badly.
"No restrictions will kill the people's economy. It just pauses economic activities to keep the virus at bay," he said.