KKR & Co., the private-equity firm run by Henry Kravis and George Roberts, may postpone a plan to sell $500 million in new shares after moving its public listing to the US from Europe, according to two people with knowledge of the plans.

The NY-based firm still intends to shift its listing to the New York Stock Exchange from Amsterdam, a move that may be completed by next month, said the people, who declined to be named because the discussions are private. The share offering, designed to fund expansion and potential acquisitions, depends on the stock market’s performance, they said.