Focus minutes part of time input using javascript

Is it possible to select the minutes part of the time input using javascript? Focus and select-methods select only hours. StepUp/down does nothing to selection. Sending tab or arrow key event is not possible. I'm running out of ideas.

e = document.getElementById('leet');
e.focus()
e.stepUp(1);
e.stepDown(1);
e.select()

<input id="leet" type="time" value="13:37" step="60" />