New York Fed President William Dudley said on Thursday that an interest rate hike in June or July would be appropriate if the U.S. economy continues to improve after the weak first quarter.

New York Fed president noted that wage pressures picked up.

He also said that he did not think the referendum on Britain's membership in the European Union would influence the Fed's interest rate decision.

Dudley is a voting member of the Federal Open Market Committee (FOMC).