The retirement system also concluded its private equity and index manager searches.
The retirement system approved three alternatives commitments at its meeting last week.
The retirement fund disclosed nine commitments totaling $1.2 billion in May.
The $50 million in total commitments is subject to board approval next week.
Interested firms must be raising at least $300 million in commitments.
Five total firms were interviewed at a board meeting yesterday.
The fund received a total of six bids in its private markets consultant search.
The retirement system recently added four private markets commitments totaling $32.6 million.
The pension plan approved two commitments to private equity and real estate at a meeting today.
The firm has sold its stake in a private equity manager, which has seen its assets under management quadruple to approximately $20 billion over the last seven years.