London graduate Mohammed Emwazi was unmasked by
Asked whether the US was "going after" Emwazi specifically, Feinstein responded affirmatively.
"Oh, yes. He's a target. There should be no question about that," the former Senate Intelligence Committee
The Kuwait-born computer expert, believed to be 26 or 27 years old, appeared for the first time in a video during the execution of American journalist James Foley in 2014.
He presided over numerous killings, and delivered English messages in execution videos.
Feinstein added that Emwazi's story of Western disaffection spoke to a "major problem" confronted by Western nations.
"What it tells us is that there are many young people, and you can see this by the number of tweets on Twitter, who are so disaffected," she said.
"Whether they feel rejected socially, whether they feel they don't have an opportunity, whether they feel this country is anti-Muslim, which it is not, I don't know."