The cost of the deal will be around 60 million pounds, a little less than Leicester rejected from City in the final days of the January transfer window.
Leicester have granted Mahrez a week off after a friendly worldwide with Algeria, but it is believed that the Foxes granted the extra rest for Mahrez to finalise his deal with City.
A report claims that Algerian winger Riyad Mahrez will officially become a Manchester City player later this week after Leicester City accepted a £60m offer.
A return of 13 goals in 41 appearances last season shows he has still been key to the Foxes however he has had his head turned by Man City and is now joining Pep Guardiola's side.
The Spaniard is plotting a £65 million swoop for the winger after narrowly missing out on the Algerian global in the January transfer window.
The 27-year-old said his transfer request had "gone" in May but left his future open.
The manager remains in pole position to prise Riyad Mahrez from Leicester City, though an agreement between the clubs is yet to be agreed.
Claude Puel will still be on the search for a wide player to replace Mahrez and Patrick Roberts has been discussed as a £15m addition to the deal.
Mahrez and Slimani featured in Algeria's 3-0 loss to Portugal on June 7 while Amartey played in the Black Stars' 2-2 draw against Iceland on the same day.
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