The Ligue 1 club suspended Henry with immediate effect on Thursday pending a final decision on his future following a wretched run of form.
The former France, Arsenal and Barcelona striker took over from the sacked Jardim on October 13, signing a deal until June 2021 after leaving his post as Belgium assistant, but has had a dismal start to his reign.
Under the 41-year-old, who started his professional career at the principality club, Monaco won just two of 12 league games and were beaten 5-1 at home by Strasbourg on Saturday.
French newspaper L’Equipe reported that Jardim met with club executives over a meal on Thursday evening to iron out his new deal, which they reported is a two-and-a-half-year contract.
Jardim was only sacked by Monaco three and a half months ago.
Monaco – who have signed Cesc Fabregas, Naldo, Fode Toure and Lyle Foster this month – were also knocked out of the Coupe de France on Tuesday night, losing 3-1 at home to Ligue 2 side Metz.
The club announced that assistant coach Franck Passi will take charge of training on Friday.
Copy provided by Press Association Sports
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