Pro Football Talk first reported news of the workout.
Sources told ESPN that the Jaguars were doing their due diligence by bringing in Hardy and wanted to sit with him face-to-face to see where he was mentally and physically.
Hardy, 27, has 40 sacks in six seasons, including six sacks with the Dallas Cowboys last season. The Cowboys did not renew his contract, and he went unsigned during free agency.
Hardy was suspended for the first four games of the 2015 season for violating the NFL's personal conduct policy in connection with a 2014 domestic violence incident.
He was accused of assaulting then-girlfriend Nicole Holder; he allegedly threw her into a bathtub and on a futon covered with guns and tried to choke her. A judge in Mecklenburg County, North Carolina, found him guilty on charges of domestic violence in July 2014.
Hardy denied the charges and said Holder was under the influence of alcohol and was angry because he told her to leave his home. He appealed the conviction, and the case was dismissed in February 2015 after prosecutors said they were unable to locate Holder. The prosecutors also said Holder had reached a settlement with Hardy.
Hardy stirred controversy throughout the season with several comments, including saying he was going to come out "guns blazing" in his return to the field. Hardy also shoved an assistant coach and got into a shouting match on the sideline with Cowboys receiver Dez Bryant.
In April, Hardy took part in an interview with ESPN's Adam Schefter in which he talked about his domestic violence arrest and subsequent conviction and dismissal of charges.
The Jaguars lack a veteran edge-rusher. The team tried to sign Olivier Vernon in free agency, but he agreed to a five-year, $85 million deal with the New York Giants. The Jaguars' top two edge-rushers are Dante Fowler Jr., who missed his rookie season in 2015 after suffering a torn left ACL on the first day of rookie minicamp, and rookie Yannick Ngakoue, the team's third-round draft pick.
Information from ESPN's Adam Schefter and Adam Caplan was used in this report.