Schwarzer, Australia's record cap holder with 109 appearances, is unsure about his own future with the Stamford Bridge club after deputising recently for the injured Petr Cech.
"There is a big decision for the club and the manager to make on Thibaut.
"He is a huge talent with a massive few weeks ahead of him with the Spanish title and the Champions League Final to play for plus a little tournament called the World Cup!
"He is part of a Belgium team which will cause a stir over there in Brazil.
"But Petr is a world-class goalkeeper and he won't give his career up easily here."
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