Green’s Dictionary of Slang

of a criminal, ripe for arrest.

1979		E. Torres After Hours 30: Kleinfeld’s overdue.
2000		J.J. Connolly Layer Cake 218: Dewey watched a lot of guys who were overdue but slippery go away for stretches on his say-so.
2005		P. Temple Broken Shore (2007) [ebook] Gabby Trevena [...] The lord knows, she’s overdue [...] What a piece of fucking work.