Tindall injured his back during a weight training session on Thursday.
England boss Martin Johnson said: "We don't sit around thinking: 'Oh, we have lost x, y and z'. Guys get hurt and you move on with the next guy. They are good players.
"The statistics say that 25% of your squad will be injured at any one point so it will happen.
"But we are thinking about the game. We have been in camp for two weeks and we want to play."
Leicester's Ellis, 26, had been set to play for England Saxons against Ireland A at Donnybrook on Friday before being called up to replace Care and leapfrogging Ben Foden to go straight into the team.
He has won 22 England caps since making his Test debut against South Africa in 2004, the last coming in March 2007.
Andy Goode trained very well with us last week and he is an experienced player who has been around a long time
England manager Martin Johnson
Ellis returned from a six-week ban for the England Saxons against Portugal last week but the number nine insisted he would be ready for the rigours of Test rugby.
"The ban was just one of those things, it gave me an opportunity to work on my conditioning," Ellis told BBC Sport.
"Every cloud has a silver lining and I'm in good shape, I'm match fit and feeling refreshed."
Steffon and full-back Delon Armitage will become the first brothers to play in the same England team since 1995 - when the Underwoods, Rory and Tony, took to the field for Jack Rowell's side.
England's starting XV currently features five changes from the November defeat by New Zealand at Twickenham.
Mark Cueto is back on the wing for the first time since the 2007 World Cup final in place of the injured Ugo Monye, while Andrew Sheridan returns at loose-head.
Versatile Northampton back Foden is poised to make his debut off the bench.
Also on the bench is veteran Leicester prop Julian White, who replaced Matt Stevens in the elite squad when the Bath player failed a drugs test.
Goode, who played with Johnson at Leicester, last appeared for England in the 2006 November defeat by South Africa - Andy Robinson's last game in charge - but returns to the international stage in good form.
He is the leading points scorer in the French Top 14 this season, with 160 points in 16 games, having swapped Leicester for Brive during the summer.
He joined the England squad for last week's training camp in Portugal and his inclusion will mean the fly-half jersey changes hands for the sixth time in eight Tests.
"He is playing well. He trained very well with us last week and he is an experienced player, who has been around a long time," said Johnson. "Toby Flood had a bit of an injury last week.
"It was an easy call in the end; he can train all week with the team and he is an experienced player. All the guys are looking forward to playing with him."
D Armitage (London Irish); P Sackey (Wasps), J Noon (Newcastle), R Flutey (Wasps), M Cueto (Sale Sharks); A Goode (Brive), H Ellis (Leicester); A Sheridan (Sale Sharks), L Mears (Bath), P Vickery (Wasps), S Borthwick (Saracens, capt), N Kennedy (London Irish), J Haskell (Wasps), S Armitage (London Irish), N Easter (Harlequins).
Replacements: D Hartley (Northampton), J White (Leicester), T Croft (Leicester), J Worsley (Wasps), B Foden (Northampton), S Geraghty (London Irish), M Tait (Sale Sharks).
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