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.
The pension plans had been expected to move a portion of a previously terminated U.S. all-cap value equity mandate to the new small-cap value manager.