According to Turkish media, the Black Eagles are in talks with Udinese to loan Nyom until the end of the season with the option to buy.
The Cameroon international is contracted to Udinese but has been playing with Spanish side Granada on loan since 2009.
Both Udinese and Granada are owned by the Pozzo family.
Beşiktaş are in the market for a new right back as they currently have no alternative to Serdar Kurtuluş.
The Black Eagles conceded goals against Erciyesspor and Fenerbahce down their right flank when they were forced to play Necip Uysal – a central midfielder – at right back.
Beşiktaş have also been linked with Molde's Martin Linnes and Dinamo Zagreb's Ivo Pinto.
Nyom has scored one goal in 11 appearances in La Liga for Granada this season. The powerful right back also has 11 Cameroon international caps to his name.
