Mayor Bloomberg wants Hillary Clinton to succeed him at City Hall.

In a recent telephone chat with the secretary of state he told her she’d make a terrific mayor, two sources told The Post.

Hizzoner – apparently unfazed that she lives in Westchester – told her it was a great job and one the one-time presidential contender should seriously consider.

The suggestion seems to suggest that Bloomberg – a one-time Democrat-turned-Republican-turned-independent – isn’t entirely thrilled with the current crop of mayoral candidates, who include his long-time ally City Council Speaker Christine Quinn.