Topeka ? Gov. Mark Parkinson is hinting that he will name a new lieutenant governor soon.

He told reporters Monday that he plans to focus on making the pick during the next week or two.

The governor had promised to hold off making a selection until after the Legislature finished its annual session. Lawmakers adjourned early Saturday.

Parkinson was lieutenant governor before being elevated to governor April 28 when Kathleen Sebelius resigned to become U.S. secretary of health and human services.

Parkinson already has said he’ll pick a Democrat. Parkinson is a former Kansas Republican Party chairman who switched parties to run on Sebelius’ ticket in 2006.