The reason is that Trump's staff is worried about potential attacks from Iran and claims that the country is planning to murder the presidential candidate.
There is no evidence or confirmed information linking Iran to previous or planned murder attempts on Trump, the newspaper writes.
The Republican presidential candidate has also requested an extended no-fly zone over his properties and meeting places during the last weeks before the presidential election on November 5.
In July, Trump was hit by a bullet in the ear during a campaign meeting in Butler, Pennsylvania. The perpetrator was then shot to death by the Secret Service protection team.
In September, Trump was nearly subjected to another murder attempt during a golf round in Florida, when the Secret Service discovered a rifle barrel sticking out through a fence aimed at the course where Trump was playing.
