Session collision/sharing problem, need help

I have a login section on one of my php pages. Once the user is logged in I set a session variable called

$_SESSION['loggedIn'] = TRUE;

.

I use this to determine if a user can access specific areas of my site only if they are logged in which is standard. I also display a message called "Welcome, somename", somename being the name of the user.

Here is the problem I’m having and how I duplicate the problem:

  1. I open up two browser windows.
  2. I log in for a user on one of the browser windows(Browser#1) and I don’t login on the other browser window(Browser#2).
    3)When I refresh Browser#2 I see that it displays the welcome message(described above) with the logged in users name that logged in from Browser #1.

[color=red]This is not good. :angry: [/color]

[color=black]It’s like one user knows about anothers session and can act like that user and wreak havoc. [/color]

Can someone tell me how this is possible and how to prevent this?

Any help would be appreciated.

Thanks