Head coach Stuart Lancaster announced at Wednesday's tournament launch that Johnson is facing three months on the sidelines.
Loosehead prop Alex Corbisiero will miss England's first two fixtures, against Scotland and Ireland, after undergoing a procedure to clean out his troublesome knee.
And England will also be without Freddie Burns for at least the Scotland game on February 2, with the Gloucester fly-half expected to be out for two to three weeks with knee ligament damage.
Lancaster added that it was "too early to tell" whether Manu Tuilagi will have recovered from an ankle injury in time for the tournament opener at Twickenham.
In more positive injury news, full-back Alex Goode has overcome a shoulder problem and will play for Saracens against Cardiff Blues in the LV= Cup this weekend.
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The Barbarians are one of the top invitational rugby sides with a long history and classic rugby jersey.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Lions get ready for their matches with this green training jersey. It's what the players wear. Get in the Gear!
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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 Lions are ready to get their Australia tour underway. They arrive in Perth on Monday.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
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.