It also calls for 407 miles (651 kilometers) of replacement or secondary fencing, said the official, who spoke to The Associated Press on the condition of anonymity because the plan has not been made public.
Trump has promised 'a big, beautiful wall' with Mexico as a centerpiece of his presidency but offered few details of where it would be built, when and at what cost.
His administration asked for $1.6 billion this year to build or replace 74 miles (118 kilometers) of fencing in Texas and California, and officials have said they also will seek $1.6 billion next year.
The 10-year plan, first reported by The Wall Street Journal, resulted from discussions with senators who asked the agency what it would take to secure the border, the official said.
It comes as the administration intensifies negotiations in Congress on a package that may include granting legal status to about 800,000 people who were temporarily shielded from deportation under an Obama-era program, Deferred Action for Childhood Arrivals.
Trump said last year that he was ending DACA but gave Congress until March to deliver a legislative fix.
The plan on border security came in response to a request by U.S. Sen. Jeff Flake, said Jason Samuels, a spokesman for the Arizona Republican.
An administration official confirmed the document was prepared at the request of congressional negotiators and said funding for the wall and other security measures must be part of any legislative package on immigration. The official spoke on condition of anonymity because the plan has not been made public. /ASSOCIATED PRESS