Federal Reserve Governor Daniel Tarullo told CNBC on Friday he wants to see more evidence of sustained inflation before considering an interest rate increase. But he added he can't rule out a hike this year.

Tarullo, a voting member on the central bank's policymaking panel, said because of false starts on inflation, he'd like to see a rise in personal consumption expenditures closer to the Fed's 2 percent target. "We're not running a hot economy," he said.