"I will not lose our No. 1 draft pick," Cashman said, according to the Westchester Journal News. "I would have for Cliff Lee. I will not lose our No. 1 draft choice for anyone else."
If the Yankees were to sign Soriano to be their setup man, he would cost them their No. 1 pick because he is a Type-A free agent.
Soriano's agent, Scott Boras, said that the right-hander would be willing to set up for Yankees closer Mariano Rivera. Cashman has not publicly stated his feelings on Soriano.
Meanwhile, Andy Pettitte remains undecided about retirement.
Andrew Marchand covers the Yankees for ESPNNewYork.com.