Minson, 27, is an unrestricted free agent and is able to move to the club of his choosing should they present him with an appealing offer.
But the Dogs believe the experienced big man, who is currently away on holiday, will sign the two-year extension on offer that will take him to 12 seasons at Whitten Oval.
Gillette Trade Period hub
"He hasn't signed yet but he's been overseas and we put together an offer that went to his management and they were very comfortable with that," Bulldogs football manager James Fantasia told AFL.com.au.
"I don't think there's any issues; it's just a waiting game."
Fantasia said while Minson was yet to officially commit, the Dogs believed they would have been told by now if he was keen to exercise his rights as a free agent.
"I think we may have heard about that prior to now but I guess you never say never," he said.
"We're very keen to secure his services to continue that relationship and we haven't heard any different to suggest otherwise."
Trade Machine
Following the departure of ruckman Ben Hudson at the end of last year, Minson has flourished and put in his best season to date.
Will Minson (r) against St Kilda ruckman Ben McEvoy in 2012. Picture: AFL Media
However, his year was blighted by a one-match club suspension for sledging then-Port Adelaide midfielder Danyle Pearce in June.
Then in August, he fronted the tribunal where he successfully had a stomping charge against the Sydney Swans' Kieren Jack downgraded to a reprimand, which eliminated a two-match ban and left him free to face Geelong in round 22.
Minson was recruited by the Dogs with pick No. 20 overall in the 2002 NAB AFL Draft.
Jennifer Witham is a reporter for AFL Media. Follow her on Twitter @AFL_JenWitham.