Wing-back Steve has been told to rest a nagging knee complaint and looks likely to miss our first three league fixtures and Ireland’s crucial World Cup qualifier against Holland.
Midfielders Tim and Leo both have ankle problems but are not considered long-term problems.
There was better news as boss Glenn Hoddle reported in Thursday’s press conference that Darren Anderton and Teddy Sheringham were improving from Achilles problems and both had a chance to face Villa.
Ledley King is expected to recover from the twisted ankle sustained in Greece last weekend that forced him out of England Under-21 action on Tuesday.
There was also good news for long-term victims Ben Thatcher and Anthony Gardner.
Defender Ben, out since November with groin and hip problems, may soon return to training while Anthony, who strained ligaments in the final game of last season, is now back with the reserve group.
Meanwhile, both Willem Korsten and Chris Armstrong have undergone surgery to clear up hip and groin problems respectively.
Glenn’s injury report went as follows: “Stephen Carr has to rest for another two and a half weeks before we decide what happens, whether it’s more prolonged rest or not.
“The rest of the guys are improving. Darren Anderton and Teddy Sheringham have improved immensely, they’ve had a couple of training sessions this week.
“It’s difficult to see if they’ll be ready for the weekend but they’ve an outside chance.
“Tim Sherwood and Leo are not going to be ready, but they are not long-term, they will be shaping up in the middle of next week.
“Willem Korsten had an operation last week on his hip. It was a very successful operation and we hope he’ll be back before Christmas.
“Anthony Gardner is back training and has joined the reserve group, he’s recovered well from his ligament strain so that is a big bonus.
“Chris Armstrong has had another operation last weekend.
“Again, we found something that we hadn’t found before. In a strange sort of way that is good news.
“This was in the groin, abductor area. That was holding him back but now we’ve found the problem and hopefully that will be the end of it, although obviously it will take a bit of time.
“Ben Thatcher has been training and his rehabilitation has been going well and he might be able to join in with training.
“He has been training with the physios through pre-season after having a wash out in the joint. He will join the reserve group next week. That’s pretty positive although we would rather have a clean bill of health.”
Meanwhile, former Spurs hero David Ginola has been named in Villa's squad despite threats of legal action against Villa.
England under-21 star Darius Vassell twisted his knee in midweek and could join Ian Taylor on the sidelines.
Boss John Gregory is awaiting a work permit for Croatian hitman Bosko Balaban so Juan Pablo Angel could start in attack.
Stephen Carr, Tim Sherwood and Oyvind Leonhardsen will definitely miss our Premiership opener against Aston Villa on Saturday.