The plan is looking for general and private markets consulting services.
The city expects to generate a shortlist of candidates to conduct interviews with on July 29.
The pension is seeking an additional core fixed-income manager to handle up to $775 million.
The commitments include a new manager relationship for the plan.
The plan currently works with general investment consultant CAPTRUST Financial Advisors.
The plan is seeking firms to manage a total of $100 million.
The city expects to select a firm by July.
The retirement system opted to pursue entering a contract with a new private debt fund after failing to come to an agreement with a previous selection.
The city received three proposals in response to an RFP issued on behalf of the plan in February.
The board added an international bond fund option to one of its retirement plans over two other strategies.