Let (K, v) be a henselian valued field of arbitrary rank which is not separably closed. Let k be a subfield of K of finite codimension and v k be the valuation obtained by restricting v to k. In this paper, we give some necessary and sufficient conditions for (k, v k ) to be henselian. In particular, it is shown that if k is dense in its henselization, then (k, v k ) is henselian. We deduce some well known results proved in this direction through other considerations.