From the Hartford Courant:

"After speaking with our military commanders on the ground," he said Wednesday in an email, "I strongly believe that additional U.S. troops must be deployed to Baghdad."

Lieberman, D-Conn., visited Iraq last week with a Senate delegation. He also traveled to Kuwait and Israel….

Adding more American forces "will at least allow us to establish security throughout the Iraqi capital, train the Iraqi army, hold critical central neighborhoods there and clamp down on the insurgency," the senator said.

"We must provide vital breathing space for moderate Shiites and Sunnis who are now attempting to turn back the radicals in their communities," he added….

Lieberman got support from at least two of his trip companions, Sens. John McCain, R-Ariz., and Lindsey O. Graham, R-S.C.

Lieberman said he understood the public's anxiety about the war. "The American people are justifiably frustrated about the lack of progress in the war, and the price paid by our heroic troops and their families has been heavy," he said.

"But what is needed now, especially in Washington, is not despair but decisive action, and immediately."

It certainly sounds like ground commanders told the senators during their talks in Baghdad that they could use more U.S. forces.