WASHINGTON — Amid its escalating campaign of drone strikes in Somalia, the Pentagon has presented the White House with an operational plan that envisions at least two more years of combat against Islamist militants there, according to American officials familiar with internal deliberations.

The proposed plan for Somalia would be the first under new rules quietly signed by President Trump in October for counterterrorism operations outside conventional war zones. The American military has carried out about 30 airstrikes in Somalia this year, twice as many as in 2016. Nearly all have come since June, including a Nov. 21 bombing that killed over 100 suspected militants at a Shabab training camp.

In a sign that the Defense Department does not envision a quick end to the deepening war in Somalia against the Shabab and the Islamic State, the proposed plan is said to include an exemption to a rule in Mr. Trump’s guidelines requiring annual vetting by staff from other agencies — including diplomats and intelligence officials — of operational plans for certain countries.

Instead, the Pentagon wants to wait 24 months before reviewing how the Somalia plan is working, according to the officials, who spoke on condition of anonymity to discuss sensitive matters. Moreover, they said, the Defense Department wants to conduct that review internally, without involvement from other agencies — a request that would further a Trump-era pattern of giving the Pentagon greater latitude and autonomy.