Koll, 28, scored a try in Namibia's World Cup pool defeat against Wales four months ago, and he will now join his compatriot, flanker Tinus du Plessis, at Adams Park.
London Wasps director of rugby Dai Young said: "Heinz will bring with him a great amount of physicality which I was impressed with during his time at the World Cup.
"It is public knowledge that we have been hit hard by injuries so his arrival will add to our currently limited options in the second row."
Koll said: "The Premiership is obviously one of the best league's in the world and I am delighted to get the chance to join Wasps.
"I am really looking forward to getting involved and hopefully my arrival can really add something to the squad."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
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Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
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The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
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The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.