Does private fund LLC need to issue 1099-Misc for its investment management fee?

We have a multi-members LLC which is a private equity fund. One of the members is identified as the general (fund) manager who made all the investment decisions on the fund. This manager charges an investment management fee. Does the LLC need to issue 1099-Misc to the fund manager regarding the management fee? If not, is there other way to report so IRS knows this is the income to the manager?