The plan will interview the manager for a potential commitment at its January meeting.
The redemption is the fourth one this year for the plan.
The pension plan committed $21.25 million total to five private markets managers last month.
The trust will have a new investment head at the start of the year as longtime CIO David Gonino is set to retire after 42 years in the industry.
The firm has hired Jeff Runnfeldt to serve as cio of its newly acquired global multi-manager investment platform.
The city is searching for a firm to provide services for its $70 million portfolio.
The firm underperformed for two consecutive calendar quarters.
The firm is winding down after losing significant assets in November.
The selected investment consultant will assist with an upcoming record keeper search.
The pension plan aims to commit $700 million to private equity next year and placed three managers on watch at its board meeting last week.