Australia will play Pakistan in their next outing when they start the first of a three-match Test series on Boxing Day.
Great Britain coach Tony Smith was also relieved that the Bradford forward will not miss the second in the three-match Test series.
Scotland's head coach Andy Robinson had hoped the scrum-half would be fit to play at least a part of the two-match Test against Argentina.
Britain's next match is a mid-season international against opponents yet to be determined, while New Zealand are the visitors for a three-match Test series in the autumn.
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He had been due to arrive in New Zealand later on Friday with England's other specialist Test players to begin preparations for the three-match Test series from 5 March.
They will play 50-over warm-up contests against a Bangladesh Cricket Board XI in Fatullah on Tuesday and Thursday before three one-day internationals against Bangladesh, followed by a two-match Test series.
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"Mark is a true Scarlet and obviously I have known him for quite a while, " said Jones, who was on the field for the entire three-match Test series against the Springboks.
I've heard figures of as much as a billion US dollars changing hands in one test match.. a billion US dollars for one test match around the world - one test match result.
"I thought I batted better in the one-day game but there's nothing to match a Test match hundred, " he says.
Then I did it in my second Test match at Edgbaston and someone wrote into dear old Brian Johnston on Test Match Special and he let the cat out of the bag.
The USA clash will be Wales' 600th Test match and their second tour Test.
Ryan Sidebottom and Ravi Bopara have been left out as England seek to restore pride in Kevin Pietersen's first match as Test captain.
Even though I'll always remember my individual performance of scoring a double hundred, sadly the match is going to be remembered for being a Test match we lost and that meant we went 2-0 down in the series.
They are a spirited one-day and Twenty20 side, but three Test match victories in 10 years is not good enough - and Test cricket simply cannot afford to produce one-sided contests with Twenty20 cricket around.
Frindall, the longest serving member of the Test Match Special team, took particular delight that his birth coincided with the first day of the "timeless Test" between South Africa and England in Durban on 3 March 1939, a game which lasted an unprecedented 11 days.
Everyone on this tour has a possibility of playing in the first Test match.
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Despite losing their eighth successive Test match in Australia, West Indies were not too downcast.
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The Test Match Special statistician will be busy answering your questions throughout the English summer.
In 1998 in Trinidad, Test Match Special employed its first female commentator, Barbadian Donna Symmonds.
When you lose a Test match, personal performances go out of the window unfortunately.
There were results in all three matches because the playing surfaces were great Test match pitches.
The second and final Test match of the tour begins on Wednesday at Taunton.
The first two days of the game is what cost us the Test match once again.
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Shah, 28, has played just one Test match, hitting 88 in Mumbai in March 2006.
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The easiest thing for me was to give up the Test match side of the game.
England's game against Zimbabwe is the first Test match at a new UK venue for 101 years.
"When I woke up this morning I had a few nerves, " he told BBC's Test Match Special.
In November, three Pakistani cricketers were jailed for spot fixing during a 2010 Test match against England.
And Muttiah Muralitharan, playing in his 100th Test match, took three wickets in a marathon 31 overs.
The England squad travelled to Kimberley on Monday, although last Saturday's Test match line-up remained in Johannesburg.
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