ALTERNATIVE 1
webview.getSettings().setJavaScriptEnabled(true);
webview.getSettings().setUseWideViewPort(true);
webview.requestFocus(View.FOCUS_DOWN);

ALTERNATIVE 2
webview.setOnTouchListener(new View.OnTouchListener() {
        @Override
        public boolean onTouch(View v, MotionEvent event) {
            switch (event.getAction()) {
                case MotionEvent.ACTION_DOWN:
                case MotionEvent.ACTION_UP:
                    if (!v.hasFocus()) {
                        v.requestFocus();
                    }
                    break;
            }
            return false;
        }
    });

ALTERNATIVE 3
webview.setOnTouchListener(new View.OnTouchListener() {
    @Override
    public boolean onTouch(View v, MotionEvent event) {
        switch (event.getAction()) {
            case MotionEvent.ACTION_DOWN:
            case MotionEvent.ACTION_UP:
                v.requestFocusFromTouch();
                break;
        }
        return false;
    }

});