Is there a way to log all urls in chrome's incognito mode for android?

Question

I'm writing a parental controll app and want to make sure everything get's monitored.

As incognito mode doesn't record any history I can't get it with :

     String[] proj = new String[] { Browser.BookmarkColumns.URL,
                                 Browser.BookmarkColumns.CREATED,
                                 Browser.BookmarkColumns.DATE,
                                 Browser.BookmarkColumns.VISITS,
                                 Browser.BookmarkColumns._ID };

    Uri uriCustom = Uri.parse("content://com.android.chrome.browser/bookmarks");
    String sel = Browser.BookmarkColumns.BOOKMARK + " = 0"; 
    Cursor mCur = this.getContentResolver().query(uriCustom, proj, sel, null, null);

    url = mCur.getString(mCur.getColumnIndex(Browser.BookmarkColumns.URL));