Crowninshield is from writer William Monahan (The Departed, Kingdom of Heaven), reports Variety.
The project - produced by Universal TV and Scott Free Productions - revolves around a genius investigator who moves in with a compulsive thief.
A deal to pick up Monahan's script to pilot has not yet been finalised, though completing the sale is said to be a priority for NBC this television season.
Kline is best known for his film credits, including roles in 1997's The Ice Storm, the same year's In & Out and an Oscar-winning performance in 1988 comedy A Fish Called Wanda.
It was recently announced that the 64-year-old will play iconic actor Errol Flynn in a new movie titled The Last of Robin Hood.
Other pilots in the works at NBC include an adaptation of Nick Hornby's novel About A Boy, a new comedy from Community star Donald Glover and a modern-day update of Wuthering Heights.
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Watch Kevin Kline's recent Funny or Die sketch 'Oscar Etiquette' below: