Both Merseyside clubs are reportedly poised to launch a £2million bid for the 21-year-old winger, who scooped the League Two Young Player of the Month award for December.
Numerous Premier League sides have been tracking Darikwa and Turner has confirmed that Liverpool and Everton have sent scouts to watch the youngster.
"Tendayi is a fantastic talent and we would never stand in the way of a player from moving to a Premier League club," Turner said.
"A lot of top clubs have been tracking him for quite a while and it is no surprise - Tendayi is a player with exceptional potential who deserves to play at the very top.
"If a bid were to come we would of course sit down and discuss it."
Darikwa graduated from the Chesterfield youth set-up and signed a three-year contract in November.