The new space would allow it to double in size, the newspaper reported.
Essex Crossing’s developer, Delancey Street Associates, would not confirm the report.
“We are talking to a number of world-class cultural institutions about coming to Essex Crossing,” said Delancey Street Associates spokesman James Yolles.
Located in a 38,000-square-foot building on West 83rd Street, the museum is a favorite hangout spot for Upper West Side parents with infants and toddlers. There are a variety of seasonal exhibits, as well as those exploring aspects of American culture — from the Jazz Age to football.