Bloemfontein Celtic have a long documented interest in the Zambian but will find competition from Highlands whose location in Johannesburg is giving them the edge.
Mbesuma has apparently indicated that he is not so keen on moving away from his current base for the sake of his school-going kids and would prefer to settle down in Johannesburg.
This is what has suddenly given Highlands the edge in the negotiations.
“Celtic have long made their interest known but Collins feels he has been moving around for too long and will prefer to remain at his current base in Johannesburg. This is what is giving Highlands the edge," a source tells KickOff.com.
"Collins has kids at school who he is not so keen on moving around yet again. Remember Collins always moves with his family and the issue of relocation is the reason why he has turned down Arrows, he had a chat with Arrows boss Mato Madlala and told her about this.
"For Celtic to win him over they will have to fork out big money."
Mbesuma – who has already been back in Johannesburg for the past four years after joining Orlando Pirates from Golden Arrows – was the league top scorer this past season with 14 goals.
His representatives at ProSport International have chosen to remain tight lipped.
Highlands will announce all their new signings on Monday which KickOff.com has gathered will consist of as many as 12 new players.