Federal Reserve Governor Lael Brainard said in Washington on Tuesday that there are no signs of a significant bounce-back in the U.S. economy in the second quarter. She added that it might better to delay the interest rate hike. But the Fed governor did not rule out the interest rate hike this year.

"If continued labor market strengthening is confirmed and inflation readings continue to improve, liftoff could come before the end of the year," she said.

Brainard noted that she was concerned that the recent economic weakness might be not entirely transitory.

Brainard is a voting member of the Federal Open Market Committee this year.