The Cherries have been on the lookout for a new boss since sacking Jason Tindall earlier in February. Jonathan Woodgate has been in temporary charge since Tindall's departure, but Bournemouth have apparently identified Henry as the ideal candidate to reignite their bid for promotion to the Premier League.
Henry is currently overseeing CF Montreal in Major League Soccer. He took control of the side in November 2019 and led it to a ninth-place finish in the Eastern Conference while navigating the coronavirus-hit 2020 campaign. His contract with the Canadian franchise runs until November 2021.
The 43-year-old's previous managerial spell was an ill-fated three-month stint at his boyhood club, AS Monaco. He has also worked on Roberto Martinez's coaching staff with Belgium.
Bournemouth believe they have already convinced Henry to take the job, according to The Mirror's Damien Lewis, but Canada-based journalist Kristian Jack's account is more aligned with The Guardian's, stating: "Nothing official has been done at Montreal Impact yet."
Ex-Huddersfield Town handler David Wagner reportedly interviewed for the Bournemouth post and Henry's former Arsenal teammate Patrick Vieira has also been linked to the role, according to Fisher.
The south coast outfit has won three times and drawn once since Woodgate assumed interim charge and is positioned sixth in the Championship table. The club is eight points adrift of Brentford in the second automatic promotion place.