The Dutchman, who retired from football in 2009, has been working in his current role with the Dutch club since the summer of 2012.
The 43-year-old has impressed at Ajax and he has earned several admirers from the Premier League.
However, according to Spanish newspaper Sport, Chelsea are working on a deal that would see the former Arsenal winger join their set-up.
The Blues already have Michael Emenalo as their current technical director, but they would reportedly like Overmars to work with the recruitment team.
Specifically, the Dutchman would be entrusted with finding youth players and potential stars of the future.