20 Watt Daylight bulb question

I just got the new Nordic Needle catalog and saw that they have these on
sale. I have the older Daylight brand floor lamp and it came with an 11
watt bulb. The catalog has both the new and the older lamps with the 11
watt bulb being listed as replacement for the older lamp and the 20 watt
bulb for the newer one. I was just wondering if any one has tried using the
20 watt bulb in the older lamp. I don't want to risk over heating and
possible fire but it sure would be nice to have the extra brightness from
the 20 watt bulb. I use this lamp in my basement stitching nest and love it
but have always wished that it were just a little bit brighter.
Beverly B