ALBANY - Attorneys representing several New York City bar groups will argue in the state’s highest court tomorrow that the city should not be allowed to adopt a plan the groups insist will undermine their role in the assigned-counsel program.

The high-profile Matter of the New York County Lawyers’ Association v. Bloomberg, 155, is one of 31 cases the Court of Appeals will hear in a two-week round of arguments that begins today. Decisions will follow starting in the middle of October.