Jones has played 11 times for Barnsley since his January move from Everton.
HITC Sport understands Barnsley have agreed a deal for the Premier League defender.
Some Everton players in particular will be under pressure to perform this season or they could be without a club...
Gethin Jones loved his taste of senior Toffees training this summer.
Everton suffered a 2-0 defeat to Leeds United at Elland Road in a pre-season friendly on Saturday.
Tyias Browning in particular was in top form for Everton at Elland Road.
The Welsh under-21 international is now hoping to push on into the first-team.