However, Jones's desire to expose his men to 'chaos' in order to keep them on their toes may yet result in joint training with other countries.
Sources have indicated that talks have also taken place about the option of England and Scotland training together too.
The latest word is that the Anglo-Scottish venture is unlikely to go ahead during the forthcoming Test window, but the plan may not be off the table entirely.
England are also thought to be planning a training head-to-head with Georgia as part of their preparations for the Six Nations early next year. For now, that proposal - with all of its obvious logistical challenges - has not yet been confirmed, but the will is there to make it happen.
The level of paranoia within rugby about codes and plays and practice drills being worked out by opponents is such that shared training sessions are all but unheard of at international level.
Former England coach and Sportsmail columnist Sir Clive Woodward had a similar idea before the 2003 World Cup but his proposal for a joint training session with France was rejected by coach Bernard Laporte.
If nations have been hesitant, clubs have been branching out in this way. Bath worked with the Newport-based Dragons in pre-season, while Harlequins and London Irish trained together last month.
Meanwhile, the governing body of European rugby confirmed yesterday that Joe Marler's three-week ban for foul play will now expire on November 12, rather than on November 19 as per the original ruling.
That amendment follows an appeal by Harlequins about the terms of his suspension, which assumed no involvement in an Anglo-Welsh Cup match against Saracens on November 4.
Marler is now free to play for England against Australia on November 18, if Jones decides to recall him.