As jury selection begins in the Harvey Weinstein retrial, his attorneys have filed an emergency petition to move the former Hollywood mogul to Bellevue Hospital due to what they say is his worsening health.

In motions filed Tuesday, Weinstein’s team cited a number of health conditions the former mogul is suffering from, including chronic myeloid leukemia, diabetes mellitus, “extensive” coronary artery disease and most recently, a misdiagnosed tongue infection. His team claims his condition could be exacerbated by the stress of the trial, as well as by his current conditions at Rikers Island Correctional Facility.

“Preventing him from receiving medical care and oversight at Bellevue Hospital during the stress and rigors of his criminal trial could lead to exacerbation of existing medical conditions, the onset of new medical conditions, and even lead to death,” the filing reads.

Opening arguments are tentatively slated to begin next week in Weinstein’s trial,...