The defender is out for at least a month after dislocating a shoulder in the final minutes at White Hart Lane and joins Steven Gerrard, Daniel Agger and Joe Cole on the Anfield casualty list.
Aaron Lennon then popped up with a late winner after Martin Skrtel had scored a goal at each end and Hodgson's woe was complete when his team were drawn away at Manchester United in the FA Cup third round.
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The Liverpool boss said: 'It was cruel to come away with nothing having lost our talismanic centre half and then paid the price for not dealing with a routine long ball. It's hard to come to terms with the fact we go away with no points. The result's not going to change, though, with me being disappointed.'
Carragher will be out for four to six weeks if the injury requires no surgery but it could be three months if he needs an operation to pin the shoulder.
'It's a serious injury,' admitted Hodgson. 'We will miss his leadership skills.
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'We've got Agger still injured and we're not overly blessed with centre halves. The injury to Steven Gerrard came at the wrong time. Steven is making big strides but Agger is a long-term matter. Now Jamie.
'Other teams will have more problems but unfortunately ours are coming in the same position.'
Out-of-sorts Fernando Torres missed two clear opportunities but Hodgson refused to blame him.
Late finish: Aaron Lennon puts the winner past Pepe Reina in the dying moments at White Hart Lane
'I was pleased with Fernando Torres,' said the Liverpool boss.
'He's getting better. He'll be disappointed he didn't take one of the chances his good play created.'
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