You can use "for a bit" to mean "for a while/moment". There is no such phrase as "for a bit closer". But for such sentences, you should add "where" you are asking the person to come: Come ____ for a bit/while Come here for a bit Come here for a while Come with me for a bit Come with me for a while Come away for a bit Come away for a while Come in for a bit Come in for a while Come in a bit closer (this refers to spatial distance, not time) Hope this helps!