The 29-year-old relocated to Paris last year with fiance Romain Dauriac but returned to New York a few months ago before giving birth to daughter Rose.
It is said that she is now looking for a new home near the west coast.
Johansson was seen house-hunting in Los Feliz, the same neighbourhood she lived in with former husband Ryan Reynolds, over the weekend and spent over an hour looking at a Spanish-style property, reports tmz.com.
However, she passed on the $2.9 million home after deciding it wasn’t private enough for her and her family’s needs.
A source previously said: “She knew she would feel more comfortable in the United States.”