Frimpong was withdrawn on the hour mark of the Reds’ Premier League victory over AFC Bournemouth last Friday with a hamstring complaint.
And the summer signing will be sidelined due to that issue for the upcoming matches against Newcastle United and Arsenal.
Bradley, meanwhile, is back in sessions with the champions having himself been ruled out of the FA Community Shield and clash with the Cherries.
“Conor trained for a few minutes with us today for the first time,” head coach Slot reported when asked about squad fitness at his pre-Newcastle press conference.
“The medical team was completely right about Jeremie to tell me they had to take him off, because he is out until the end of the international break and that happened in the game.
“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 with ‘we’ I don’t mean me, but the medical staff. And they were completely right.
“So, a good call to take him off, otherwise he would have maybe been out for longer. And we expect to have him back after the international break.”