The White House and the Treasury Department did not immediately respond to Reuters requests for comment.
The Post said the decision to include Trump's name was announced to the IRS information technology team on Tuesday,US time (Wednesday AEST).
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"The team,working from home,is now racing to implement a programming change that two senior officials said will likely lead to a delay in issuing the first batch of paper[cheques],"it said.
The newspaper said it would be"the first time a president's name appears on an IRS disbursement". It said while some recipients may not notice or care about whose name appeared on their cheques,"the decision is another sign of Trump's effort to cast his response to the pandemic in political terms".
Citing three administration officials who spoke on the condition of anonymity,thePost reported Trump had privately suggested to Treasury Secretary Steven Mnuchin that he formally sign the checks. But the president is not an authorised signatory for such disbursements -"It is standard practice for a civil servant to sign checks issued by the Treasury Department to ensure that government payments are nonpartisan",thePost reported.
Trump is seeking re-election in November. He is pushing hard to reopen the economy by May 1,although it isup to each state governor to make their own decision to ease lockdowns.