Story highlights Dubke's departure comes as speculation has swirled about a possible Trump staff shakeup

Dubke said he was resigning "for a number of reasons -- for personal reasons"

Washington (CNN) White House communications director Mike Dubke is leaving the administration, he said Tuesday, amid swirling speculation about a possible Trump staff shakeup.

He told CNN Tuesday he submitted his resignation on May 18 but offered to stay until the end of President Donald Trump's foreign trip. A final day has not been set, Dubke said.

"It has been a privilege to serve this president," Dubke said in a phone interview.

Dubke said he had "a good conversation with the President" after submitting his resignation. He declined to discuss the turmoil inside the West Wing, only saying he was resigning "for a number of reasons -- for personal reasons."

In a resignation note to friends and colleagues, Dubke said it was his "distinct pleasure to work side-by-side, day-by-day with the staff of the communications and press departments. This White House is filled with some of the finest and hardest working men and women in the American government."

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