The Treasury Department's order could cause the checks to be delayed by several days or longer, senior agency officials told the publication.
The unprecedented decision will mark the first time in history that a president's name has ever appeared on an IRS disbursement.
Usually, presidents' names don't appear on checks issued by the Treasury Department in order to keep such payments non-partisan.
His name will appear on the memo line appearing left side of the stimulus check.
The stimulus checks, otherwise known as Economic Impact Payments, were included in the $2.2 trillion stimulus package passed by Congress and signed by Trump late last March.
Some Americans have already started receiving their stimulus checks in the form of direct deposits.
At the April 6 White House coronavirus briefing, Trump said another round of direct payments "is absolutely under serious consideration. »