Lieutenant Governor Timothy P. Murray has agreed to meet with state and federal inves­tigators looking into the Chelsea Housing Authority scandal, a spokesman confirmed Tuesday, and he has ­retained the law firm of former US attorney Donald K. Stern to represent him.

Murray was a close political ally of former Chelsea Housing Authority director Michael E. McLaughlin, who was forced to resign after revelations that he was deliberately concealing his inflated $360,000 paycheck. Murray has not been named a target of the investigations, aides say, but his campaign has already paid nearly $10,000 to Cooley LLP, Stern’s law firm.