The Foxes are in talks with the 21-year-old midfielder as boss Claudio Ranieri seeks to bolster his squad for their shock title assault
Leicester are top of the Barclays Premier League after Saturday's 1-1 draw at Aston Villa
Ghana international Amartey has six caps for his country and would become the Foxes' second January signing after Demarai Gray joined from Birmingham for £3.75million
Amartey started his career with Swedish side Djurgarden before moving to Denmark in 2014.
His arrival is likely to trigger a loan move for Gokhan Inler, with the Switzerland captain wanting first-team football ahead of Euro 2016
Villa are interested in the midfielder while a move to Schalke has not materialised
Inler has made nine appearances for the Foxes - but just three league starts - since signing from Napoli in the summer and was an unused substitute at Villa Park on Saturday.
Source : PA
Source: PA