WASHINGTON — Donald J. Trump and Hillary Clinton have each described the other as unfit to be trusted with classified information. But as is customary for the official nominees of both parties, the two candidates will get their first intelligence briefings as early as next week.

American intelligence officials will soon contact the two campaigns to schedule a wide-ranging briefing for each on global conflicts, the status of America’s military campaigns overseas and the latest maneuverings by foreign governments, both friend and foe.

This quadrennial rite of passage for presidential candidates usually takes place while few people pay attention. Not now. Recent statements on the campaign trail, and barbed accusations by both candidates about their opponent’s ability to handle classified information, have focused attention on the intelligence briefings and raised questions about how much, or how little, the spies will share with the candidates.

The subject came up again on Wednesday after Mr. Trump’s comments at a news conference, where he said he hoped the Russians had hacked Mrs. Clinton’s computer server and then encouraged them to publish whatever they had stolen. This drew outrage from current and former government officials, both Republicans and Democrats, who said a presidential candidate had for the first time invited a foreign power to carry out espionage on American soil. Some former senior intelligence officials said Mr. Trump’s comments bordered on treason.