Dallas Federal Reserve President Robert Kaplan said on Friday that he could vote for an interest rate hike in June or July if the U.S. economy continued to improve, adding that the Fed should rise its interest rate gradually.

"As we continue to make progress in achieving our dual mandate, I will advocate that we take actions to remove some amount of accommodation. However, I will also advocate that we take these steps in a gradual and patient manner," he said.

"We will see what meeting, whether that means June or July or what else," Kaplan noted.

Kaplan is not a voting member of the Federal Open Market Committee (FOMC) this year.