Relegation-threatened Livorno have sacked Domenico Di Carlo after just 88 days in charge and re-appointed Davide Nicola.
Virgil van Dijk claims he knows nothing of interest from English clubs and is keen to prove himself in the Champions League with Celtic.
And his time at Oakwell is about to come to an end, with the final touches being put on his exit.
"He's an exceptional person, he's played at the top level in most leagues in Europe," Hill said.
"At 29, he slipped down the levels and I thought we could pursue a possibility of resurrecting him, but that hasn't worked out.
"But he retains the ability and pedigree, but his vision is not the same as the manager's.
"It is amicable, but the plan to resurrect him hasn't worked.
"We will be pursuing a different direction to Mido."