The Korean car company spends $5 million a year to be the naming rights sponsor of the competition, as well as an extra $1 million to support the national teams.
However, according to a report in The Sydney Morning Herald, that partnership is set to end once the current season is finished.
"Hyundai did not comment when contacted by the Herald on Tuesday, but sources close to the deal suggest the announcement of the end of the partnership will be made in the coming weeks," the report said.
"A-League sources suggest they were informed of Hyundai's decision several weeks ago, before businesses went into lockdown in March, and have already begun searching for a new naming-rights partner."
The deal with Hyundai, which also provides nearly 80 cars to the federations and clubs, is the second most valuable after the TV rights deal with Foxtel.
That TV rights deal still has three seasons to go, however, there have been numerous reports that Foxtel has looked at ways to end the contract early or re-negotiate it.
The loss of Hyundai comes after NAB, Caltex and Aldi all ended their sponsorship of FFA programs in the last 12 months.
