When the Phillies placed Cliff Lee on the 15-day disabled list a week ago, general manager Ruben Amaro Jr. expressed some hope that the left-hander would be ready to pitch by the time the DL stint was over on June 3.

Amaro acknowledged Monday that Lee will need more time than that.

How much more remains to be seen.

Lee was examined by team medical personnel on Monday. The pitcher was still feeling some soreness in his elbow and was not cleared to begin throwing.

“He’s improved,” Amaro told CSNPhilly.com. “He’s just not ready to throw yet. He’s feeling less soreness than he did, but there is some soreness.”

Lee said he had a couple of tests on Monday.

“I was hoping for the best,” he said. “But I could still feel it. It’s still there. It’s definitely better. But it’s still there. There’s no sense starting to throw while I still have symptoms.”

Lee was diagnosed with a Grade 1-2 strain of the flexor tendon. He is confident his injury is nothing more.