Cardiff boss Jones shock West Ham candidate
The Mirror says FC Twente boss Steve McClaren remains the No.1 choice of the Upton Park board to replace Zola in the summer.
But Jones' achievement of leading cash-strapped Cardiff into the Championship play-offs has impressed Hammers' owners David Sullivan and David Gold.
He has been at Cardiff since 2005 and took the Bluebirds to the 2008 FA Cup final, while selling Aaron Ramsay and Roger Johnson at huge profits.
Cardiff are still carrying debts of around £20m and face a High Court date with the taxman on May 5 over an unpaid bill of £1.7m.