West Ham has to replace David Moyes, and it has its eye on the Newcastle boss.
West Ham have been assessing their options, with the Daily Mail also reporting that co-chairman David Sullivan spoke to Paulo Fonseca and his agent Jorge Mendes on Monday.
He felt unfairly treated that plans to replace him were being made while he was still in charge of the club.
However, the meeting with Fonseca appears to have failed to bear fruit, with Portuguese outlet Ojogo reporting that he has now agreed a new contract with current club Shakhtar Donetsk.
Regardless of talks with other managers, West Ham still view Benitez as their number one target. He could be persuaded to leave Newcastle as there is reportedly tension between him and owner Mike Ashley over transfer budgets for the summer window.
"We are already taking steps to identify and recruit the manager we believe can take the club into an exciting future for our loyal supporters within the next 10 days," Sullivan said after Moyes' departure was confirmed.
The Daily Mail report that former Manchester City manager Manuel Pellegrini is also on their shortlist, alongside Everton target Marco Silva.
Unai Emery is also on their potential list of candidates, with Goal reporting that that he is set to meet with the West Ham hierarchy next week.