Portugal national team doctor Henrique Jones says the player needs two months rest and ruled him out of the Euro 2008 qualifiers with Armenia and Finland.
Ruled out: Carvalho (right) is struggling with a back injury
If confirmed, it will be another blow for Chelsea who already have Petr Cech, John Terry and Paulo Ferreira out and Ashley Cole only just returning from injury.
After Sunday's draw against Everton at Stamford Bridge, which leaves Chelsea five points behind Premier League leaders Manchester United, Grant said: "We have too many injuries.
"It is not easy to play without all the back four and goalkeeper.
"This is the reason we have a big squad, but it is unusual."
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Duchess of Cambridge is pretty in pink at her first Buckingham Palace garden party
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News pictures of the day
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The Glamour Awards - stars turn on the style
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Horror on the 5.53! Commuter dragged 200 feet after getting hand trapped on train
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Chelsea have the League’s highest wage bill for eighth year in a row
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Locked up and banned: The Tube drunk whose vile racist rant was caught on film (video)
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British housewife facing FIRING SQUAD over Bali drugs smuggling charge was 'neighbour from hell' -
London 2012 Olympics: Raising the bar and the Games haven't even started yet. Price of toasting Team GB is £6 a pint! -
Timebomb ticking in Thames Estuary could put Boris Island plans in jeopardy -
Video: Intruder bursts into Leveson Inquiry to brand Tony Blair a war criminal
Family pay tribute to the London man who gave his life to save a five-year-old girl from drowning 
Eton schoolboys fly Games flag on Everest 
Shrimpy's - review 
London Fields forever: street style from the hippest park 
The O2
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Summer party
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Glamour Awards
Garden party
First review
Fair-weather goths
Dog save the Queen
A better ex than husband
Best of the Baftas
