Hahn, 29, has already been offered a spot on the Dogs' rookie list but is weighing up whether he wants to remain at the club outside the senior list or pursue a full-time coaching role.
Bulldogs coach Rodney Eade said the club offered Hahn a rookie spot to provide coverage in the forward line.
"Mitch is interested in coaching and we know he's done a good job around different parts of the local community," Eade said.
"Williamstown are obviously keen. Maybe he could add a bit of coaching experience there.
"It's not over the line as such but it's an option we've spoken about."
Eade said Hahn could handle both a rookie role and a part-time coaching gig, but his own fitness and form would remain a priority if he decided to accept the Dogs' offer.
He also said the 181-game player was not averse to the idea of continuing as a mature-aged rookie.
"It's up to him about working through the pros and cons about what he wants to do with his career," Eade said.
"He's disappointed not being on the senior list but he thinks he can play senior footy, so he's got that passion and drive."
The Bulldogs also have ex-Sydney Swan Ed Curnow and former Demon Danny Hughes at training hoping for a spot on the rookie list.
The club's new draftees Mitch Wallis, Tom Liberatore, Jayden Schofield, Zephaniah Skinner and Tom Hill, as well as trade week recruits Justin Sherman, Nathan Djerrkura and Patrick Veszpremi, were all put through their paces in Tuesday's skills and running session.
"Veszpremi and Djerrkura bring some goalkicking talent as well as some forward pressure and some speed," Eade said.
"Two or three years ago we were known as a quick side and that probably wasn't our main go this year, especially when we lost [Adam] Cooney, it was really left to [Ryan] Griffen and there wasn't a lot of speed through the ground.
"Sherman coming in, Djerrkura and Veszpremi gives us a bit of speed."
He also said he wouldn't be surprised if Wallis and Liberatore played senior football as early as next year.
Brian Lake, Cooney, Ryan Hargrave, Callan Ward, Ayce Cordy and Sam Reid were in the rehab group and spent extra time on skills at the end of the session.
Eade said all players should be running before Christmas except for Lake, who recently had knee and hip surgery.
He is expected to run early to mid January after his knee was considered worse than expected.
Eade said the club would not name a new captain to replace the retired Brad Johnson until late February or early March.
