Java. How to test date created with LocalDateTime.now()

I have this class

class MyObject {
    private LocalDateTime date;

    public LocalDateTime getDate() { return this.date; }

    public void myMethod() {
        this.date = LocalDateTime.now();
    }
}

How can I test that the date is properly set? I cannot mock now() because it is static and if I used LocalDateTime in the test both dates won't be the same.