Nat Fyfe's three-year contract extension on Thursday moved the spotlight to Mundy's contract situation.
The 28-year-old will play his 200th AFL game this weekend and while Rosich said he was loathe to discuss the details of contract negotiations, he hinted the club was quietly confident of retaining Mundy.
"I would say well-placed," Rosich said.
"We make a habit, a concerted habit of not talking about contracts in progress.
"We didn't with Nathan and we don't with any other player, so I wont make an exception with David.
"But we are really well-placed as a football club to retain players that we seek to retain and also to attract players to our football club, so we're very comfortable."
Following the announcement of Fyfe's deal, Rosich was asked if the Dockers had concerns over a potential salary cap squeeze over the next couple of seasons given they have been active in the free agency market in the past two years.
The Fremantle CEO said he was confident all Fremantle players would be adequately remunerated according to their worth but said the club is assessing its ability to attract more free agents like Danyle Pearce and Colin Sylvia.
"That's something we will weigh up closer to the end of the year," Rosich said.
"We are in the business of making sure we reward all of our players with a commensurate value to their worth and we believe we have done that in the case with Nathan and we will do that with every single player on our list.
"But we are working through those sorts of things as we speak."
Nat Fyfe said he was hopeful that Mundy would re-sign with the Dockers but did not think the Fremantle players had an obligation to consider the salary cap implications of retaining their list.
"Fortunately that's not my job to worry about," Fyfe said.
"Our list management team have the job of making sure the club's financially set-up for years to come. I'm sure they'll do a good job for that."
