He pleaded guilty back in July to 22 counts of health care fraud.
Weinberger is accused of billing insurance companies for procedures that were not performed. He was on the run for five years and fled to the mountains of Italy where he was eventually captured.
Weinberger's attorney filed a motion Monday asking for a sentence of no more than 37 months.
With time served, Weinberger could get out of prison soon if the judge accepts the motion.