Chicago casino and real ­estate tycoon Neil Bluhm will submit a last-minute application Tuesday to the state gambling commission, seeking development rights for a resort ­casino or a slot machine parlor, on an unidentified site in Greater Boston, said a spokesman for Bluhm.

Bluhm, chairman of Rush Street Gaming, is “pursuing several very good sites” in the Greater Boston region, but has not yet decided on one, Greg Carlin, chief executive of Rush Street, said in an interview Monday night.