Hunter said the board could ultimately decide not to make any changes to its allocation.
The California Public Employees' Retirement System, the largest U.S. pension fund, said it had not placed Pimco on a formal watch list, but it was also paying close attention to developments.
"CalPERS staff has tremendous respect for the staff at Pimco," the system said in an emailed statement. "That being said, we are monitoring the issue and will keep our board aware of the changes."
In a statement, Pimco CEO Douglas Hodge said: "We are focused on communication with our clients, and have been in regular contact with them following the recent leadership transition. They understand the changes we have taken and why, and are ready to move forward with us."
In a Tweet on Monday, Gross wrote, "No distractions here—just long term performance satisfaction—working hard as always for clients."
(Read more: Gross on Pimco: Better 'than we were before')
The closer scrutiny by state and local pension systems shows that Gross, though, may have more work to do to assuage investor concerns after El-Erian's surprise departure and reports of growing discord between the two men amid weak fund performance.
Overall, customers withdrew $41.1 billion from Pimco's flagship Total Return Fund last year, a record amount for the manager, according to investment research firm Morningstar. The fund posted another $1.6 billion in outflows in February, reducing assets to $236 billion and marking the 10th straight month of outflows.
The Total Return Fund, which Gross manages, trailed more than 70 percent of its peers in February.
Last month, a Wall Street Journal article described the worsening relationship between the two men as Pimco's performance deteriorated. Later, Gross told Reuters that El-Erian, who is due to leave the firm in less than a week, was trying to "undermine" him by talking to the Journal.
A memo from investment consultant NEPC to the City of Fresno Retirement System Joint Boards noted "an elevated level of concern" around the changes at Pimco.
During a recent on-site visit to the bond firm's offices, "it was clear that there was a profound sense of disappointment and surprise within Pimco regarding Mr. El-Erian's departure," the memo said, adding: "Mr. Gross viewed Mr. El-Erian as his successor and during the meeting he expressed a level of sadness and frustration regarding the resignation."
The Fresno systems were already weighing investing with Pimco when news of El-Erian's departure, as well as other staff changes, came out. When the city wanted reassurance on organizational questions, Pimco sent a team to the Fresno offices.
The Fresno systems are now negotiating with Pimco and expect to invest money with the firm in coming months.
(Read more: Allianz shareholders urge action on Pimco arm)
"You're talking a lot of depth (of the bench). It's not driven by two people," said Stanley McDivitt, the systems' retirement administrator.