Moody underwent a scan on the Monday and the Rugby Football Union are "optimistic" over his progress ahead of England's World Cup squad announcement on August 22.
But no target date has been set for Moody's return to action by the England medics.
The Bath flanker sustained the injury when Tom Palmer fell on his leg at a lineout, 61 minutes into England's 23-19 World Cup warm-up victory over Wales last Saturday.
Moody was making his international return after missing the Six Nations, having damaged the same knee playing for Bath in January.
England face two more World Cup warm-up fixtures - against Wales this weekend and then Ireland - before their opening World Cup match against Argentina on September 10 in Dunedin.
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!
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
$29.99
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.
