The 25-year-old is still banned due to a positive doping test, with the ban reduced from 12 to nine months following an appeal.
Overmars told Voetbal International: "I'm not sure if we'll get to a deal with Lyon.
"There hasn't been contact for a week. Another club was interested but they already got another goalie.
"Arsenal were also mentioned but I haven't had any contact with them."
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