The pension fund is seeking buyout and special situations funds to handle an estimated $85 million allocation.
The pension plan received a recommendation to hire two infrastructure managers and disclosed two private equity commitments last month.
The retirement fund selected a new consultant to conclude an invitation-only search launched in November.
The plan awarded more than $3 billion to international equity and credit managers.
The pension plan liquidated its approximately $1.9 billion global equity mandate and made commitments totaling $1.6 billion in March.
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.