The Kansas center was the consensus number one pick before a previously undiscovered stress fracture was spotted less than a week ago.
"I think it's hard to take Embiid," Lasry said. "I think he's a phenomenal individual, but with the injury and not knowing how severe or long it will take to recover, I think for us today we're going to want somebody who's going to help us on day one."
The Cameroonian is widely regarded as the player with the highest upside in the draft. He is the most exciting true center to enter the draft since Greg Oden in 2009.
However, with two serious injuries before even getting to the NBA many executives now consider him too big a risk to take at the top of the draft. Teams are now attempting to gather as much of his medical information as they can.
The Bucks are out of the running for Embiid, however, and will turn their attention to Jabari Parker and Andrew Wiggins.
Milwaukee are said to be excited about the chance to take Parker. They like his scoring ability and NBA-ready offensive skills, and as a Chicago native he would be less than two hours away from his hometown.
If the Cavaliers select Parker with the number one pick, however, the Bucks will grab Wiggins. The Kansas man has tremendous athleticism and could very easily turn out to be the draft's best player.
"A lot is going to be dependent on what Cleveland does," Lasry said. "But I would tell you right now it's probably either going to be ... one or the other."