A senior Democrat said the four cities are part of his pitch to voters in key battleground states to pressure congressional Republicans to approve his $447 million economic revitalization bill.
The Democrat, speaking anonymously, had not been authorized to disclose the locations.
Details such as locations and times were not available and would be announced in the coming days.
The president has dared Congress to enact his proposal or be prepared to face the wrath of voters next year.
Last month, Richmond was his first stop on a campaign-style national tour aimed at turning up pressure on House Republicans.