England coach Clive Woodward told website zurichpremiership.com that Bath midfielder Tindall, who was replaced in the 71st minute of the win over the Springboks by Perpignan wing Dan Luger, was merely suffering from cramps at the time.
Woodward added that there were no new injury concerns: "I think in the game against Georgia [an 84-6 victory] we picked up more of our fair share of injuries."
Northampton Saints scrum-half Matt Dawson and Saracens flanker Richard Hill, both of whom missed the game against the Boks because of hamstring problems, are available for selection against Samoa.
"I think that we are going to get better and better once we're into it and now that we have got this game [against South Africa] out of the way, we will step up another level," continued Woodward.
"I am looking forward to going to Melbourne now, with the win and the pole position and I have to say I think that the England fans were just brilliant. You don't know how good it is to see all those white shirts when we leave the hotel to get to the ground."
Bath lock Danny Grewcock, who missed the encounter with the Boks because of a sustained a hairline fracture to his toe, will still be sidelined for the next game – against Samoa in Melbourne next Sunday.
Harlequins centre Will Greenwood, who was given compassionate leave to be with his wife in the UK, will also be missing, perhaps clearing the way for Wasps' SA-born centre Stuart Abbott to make his World Cup debut against the hard-hitting Islanders.