WASHINGTON — The White House is considering giving the Pentagon more independent authority to conduct counterterrorism raids as part of an effort to accelerate the fight against the Islamic State and other militant organizations, administration officials said on Thursday.

Such a step would allow military commanders to move more swiftly against terrorism suspects, streamlining a decision-making process that often dragged on under the Obama administration, frustrating Pentagon officials.

The White House press secretary, Sean Spicer, called the proposal “a philosophy more than a change in policy.” He said that “the protocol is not changing in terms of what has to be signed off,” but added that Mr. Trump believed “these are the experts in the field.”

Critics say that giving the military more authority could lead to more problematic outcomes like the Special Operations raid in January in Yemen, which left a member of the Navy’s SEAL Team 6 dead, as well as about two dozen civilians.