The retirement fund also hired an emerging markets equity manager last week.
The commitments include three new manager relationships for the retirement system.
The plan recently made $285 million in private markets commitments.
The retirement system will interview the finalists at its December finance committee meeting.
The board hired an intermediate manager to replace a short-term bond mandate.
The retirement system is seeking a replacement for a recently terminated domestic equity manager.
The retirement system also approved a search for a multi-asset credit manager at the end of August.
The commitments include two new manager relationships for the council.
The plan is looking to invest up to $35 million across the two strategies.
The plan will look to conclude its private markets consultant search next month.