BERLIN (Reuters) - There is no reason for the European Central Bank to cut interest rates too fast or too strongly, Austrian central bank Governor Robert Holzmann told Handelsblatt in an interview published on Wednesday, adding much depended on the U.S. Federal Reserve.

"If the time comes in June, further steps will certainly follow," said Holzmann. "But I see absolutely no reason for us to cut key interest rates too quickly, too strongly," he said.

"To a certain extent, our data and decisions are naturally influenced by the Fed. We are not working in a vacuum. With the dollar, the Fed is, figuratively speaking, the gorilla in the room."

(Reporting by Miranda Murray; Writing by Madeline Chambers)