Or maybe the company that makes these makes one for the TT? Looks like a Thule to me. Might be worth asking what the width is!

http://www.vlvworld.com/indexframe.html?acc/transport.htm

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1992 300D 2.5T
1980 Euro 300D (sadly, sold)
1998 Jetta TDI, 132K "Rudy"
1974 Triumph TR6
1999 Saab 9-5 wagon (wife's)