When Jerry Reese said the Giants were open to finally giving Osi Umenyiora the new contract he’s always wanted, the oft-unhappy defensive end definitely heard him.

He just didn’t believe a word.

Instead, the 30-year-old Umenyiora sounds as if he is bracing for another ugly chapter in his lingering contract squabble with the Giants that could loom over the three days of the NFL draft. He admitted he believes there is a “chance” he could be traded after the draft begins on Thursday night at Radio City Music Hall.

He also doesn’t think there’s much of a chance that he will ever get the lucrative contract from the Giants that he’s always believed he deserved.

“I was happy he said that, but is it really going to happen? I don’t think so,” Umenyiora said on Wednesday at an event to promote the NFL Play 60 Youth Football game for Xbox 360 Kinect. “I doubt it because obviously they have a bunch of young players who they have to take care of. “So I feel like I’m one of the very good pass rushers in the NFL. I think my statistics have proved that.

“Are they going to be able to pay me as such? I seriously doubt that.”