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The Reds will make the trip to face the Clarets in their first match after the September international break.Arne Slot and Co.
Liverpool are the only club in the top flight with a 100 percent record so far this term and another victory would see them maintain their place at the top of the table.
Slot has already been forced to deal with some injury concerns at Liverpool this season.
The Reds will also be monitoring the fitness of deadline day signing Alexander Isak who arrived from Newcastle United for £125million.
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Slot was asked about Frimpong's fitness after the defender suffered an injury in the 4-2 victory over Bournemouth last month.
The Liverpool head coach delivered the update ahead of the clash against Newcastle United in Gameweek 2, where he confirmed Frimpong was not expected to return until after the international break.
“The medical team was completely right about Jeremie to tell me that I had to take him off, because he is out until the end of the international break and that happened in the game," Slot told reporters on August 21.
“I already said immediately after the game that it had nothing to do with how he played, but we felt he had an issue with his hamstring.
And we expect to have him back after the international break.”
Fantasy Premier League are no longer listing Frimpong as an injury doubt for Liverpool, meaning they believe the Netherlands international has a good chance of playing against Burnley on Sunday.
Curtis Jones and Stefan Bajcetic are mentioned on the Liverpool injury list, with both having an "unknown return date".
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