When I use my Android tablet's native browser to access my account on Outlook.com, the web page tells me to "upgrade your browser", as this example shows:

Naturally, since there is no "upgrade" for this browser, I click the link that says "continue to your Inbox" and it works just fine.  I wish to suppress this message, since I never intend to "upgrade" the tablet's browser.  I'll repeat: once I click that "continue" link, everything on the web page works exactly as it should and just like it works if I use IE.  I don't have to clear the browser's cache or any of that other advice I see posted here constantly.  I just want to be able to tell Outlook.com "don't tell me again".