Two more Senate Democrats signaled on Sunday they might not support deploying additional troops to Afghanistan.

"I think, at this point, sending additional troops would not be the right thing to do," Senate Majority Whip Dick Durbin (D-Ill.) told NBC's Meet the Press.

Durbin said he would prefer the United States to devote its resources to training local Afghan police and security forces, an idea floated last week by Sen. Carl Levin (D-Mich.), the chair of the Senate Armed Services committee.

"I will tell you, the president has not asked for troops, at least not to my knowledge," Durbin added, reaffirming his support for Levin's plan.

At the same time, Sen. Diane Feinstein (D-Calif) told CNN's "State of the Union" she wanted the White House to define its goals and better measure its progress in the war-torn state.

"I believe the mission should be time limited. I think there should be no, 'I'll let you know in a year and a half how we do,'" she said Sunday, also agreeing the United States should bolster local security forces.

Added Feinstein: "I think the Congress is entitled to know after Iraq how long we will be in Afghanistan."