[SOLVED] Can a minimum width be used for the header when it's position is fixed?

I am using a minimum width for the layout, which has worked well. Recently I fixed the the position of the header area (including the horizontal page menu) using CSS command "#header {position:fixed;}". This also works beautifully. However, now the minimum width of the layout does not apply to the header area. When the site is compressed so that there are two lines on the menu, it becomes too high and covers part of the text below. Is it possible to somehow set a minimum width for the header area while it's position is still fixed?