Gov. Scott Walker says infighting on the Wisconsin Supreme Court is a serious matter that needs to be resolved for the sake of public confidence in the court.

Speaking on WTMJ radio, Walker said Monday that regardless of your political beliefs, "there's got to be confidence that the people on the court can rationally discuss and debate" issues.

A member of the high court's liberal faction has accused a conservative justice of choking her during an argument in her office earlier this month _ a charge he denied.

Supreme Court Justice Ann Walsh Bradley told the Milwaukee Journal Sentinel that Justice David Prosser put her in a chokehold. The argument reportedly occurred before the Supreme Court's decision upholding Walker's budget bill eliminating most collective bargaining for public employees.