Tricoli, who had been at the FBI for 18 years, reportedly left last month to take a job with Charles Schwab Corp.
His departure raises questions about how the government plans to address the issue of election meddling, particularly with the midterm elections less than four months away.
Tricoli did not respond to requests for comment by the Journal.
News of his exit comes just days after special counsel Robert Mueller indicted 12 Russian intelligence officials for allegedly conspiring to influence the 2016 presidential election by hacking U.S. systems.
FBI Director Christopher Wray convened the foreign influence task force last year, telling lawmakers he wanted to "get ahead" of Russian interference in upcoming elections.
"Needless to say, I take any effort to interfere with our election system by Russia or any other nation state or any non-nation state extremely seriously because it strikes right at the heart of who we are as a country," Wray said at the time. "We're focused very much forward-looking at the next couple of election cycles."