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“Unfortunately, [Gomez] has a minor injury at the moment but he will be back with the team very soon,” said Slot on Friday, while adding that Bradley is also expected to miss out.
The Northern Irishman was not spotted in training on and is also a doubt to face Bournemouth next week.
Meanwhile, Ryan Gravenberch is available to face Palace despite picking up a red card on the final day of last season, ironically against the Eagles.
He started his first game of the summer against Bilbao on Monday but was given just 56 minutes by Slot and is still being eased back.
Mac Allister was not immediately available to Slot this summer
“[Mac Allister] will be in the squad [against Palace],” said Slot on Friday.
“He was out for two months I think, or longer because we didn’t play him in the last four games of the season
Asked about Sunday’s opponents, Slot added: “Unfortunately, we face a very good Crystal Palace that have been very difficult to win against for us, because we played 1-1 against them in the last game of the season.
“They showed in the last [FA Cup] final – and even in the semi-final, by the way, as well – how difficult it is to win a one-off game [against] them.
“I think most of the players that they have are still there, so even more reason to know what a difficult team it is to play against.”