Pulis has long been linked with the available job as Palace boss and is reportedly in advanced talks with the club board.
Palace has been without a manager since Ian Holloway stepped down last month.
Pulis has been out of work since his second spell at Stoke ended in May.
The 55-year-old has never been relegated as a manager.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.