Access to a government jet 24 hours a day. An office in the West Wing, plus guaranteed weekends off for family time. And an assurance of being made secretary of homeland security by November.

Those were among a list of 10 conditions that Kris Kobach, the former Kansas secretary of state, has given to the White House if he is to become the administration’s “immigration czar,” a job President Trump has been looking to create to coordinate immigration policy across government agencies. The list was described by three people familiar with it.

[Update: Kris Kobach announces bid to run for Kansas Senate seat.]

Mr. Kobach, who once served as an adviser to the hard-line immigration Sheriff Joe Arpaio and helped write an Arizona law requiring local officials to verify the citizenship of anyone they had “reasonable suspicion” to believe was an unauthorized immigrant, said he would need to be the main television spokesman for the Trump administration on immigration policy. And he said he wanted a guarantee that cabinet secretaries whose portfolios relate to immigration would defer to him, with the president mediating disputes if need be.

The list was submitted by Mr. Kobach in recent weeks as he discussed his interest in the job. Other conditions included having a staff of seven reporting to him, “walk in” privileges to the Oval Office, a security detail if deemed necessary and the title of assistant to the president.