Liverpool boss Kenny Dalglish has flown to Boston to meet with the club's owners.
The Daily Mail says the Scot flew to the United States after Liverpool's final Barclays Premier League game, a defeat at Swansea on Sunday, for a crucial debrief with Henry, the club's principal owner.
Speculation has been mounting about Dalglish since Liverpool's quest to qualify for the Champions League unravelled.
Wigan manager Roberto Martinez has been touted as a possible replacement.
Fenway Sports Group have given no indication Dalglish retains their support. Henry declined all interview requests after Liverpool were beaten in the FA Cup final by Chelsea 10 days ago.