It has been eight years since lawmakers approved a plan to install as many as 4,500 of the gambling machines at the horse track.
Five companies have bid for the rights to operate the so-called "racino,'' but the governor and leaders of the state Senate and Assembly have been slow to decide who should get the contract.
Paterson said Friday that he will announce his choice for a vendor within a week.
He says the state needs to act now.
The New York Racing Association has threatened to cancel the Belmont Stakes if lawmakers don't get moving on the plan.