The 32-year-old is available as a free agent after being released by Manchester United earlier this summer.
Pulis said: “Michael hasn’t gone anywhere and it’s still a possibility. There’s still stuff happening and going on. Whether we can do a deal or not is another matter.
“I’ve always said he’s a good player and someone I think people in the club would like to have around. He’s a great professional as well and Crouchy has shown what great professionals can do for the football club.”
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
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