Former Manchester City keeper Weaver joined the Dons on a six-month deal in the summer, but has made two just two appearances this season.
However, McInnes wants the 34-year-old to continue to provide cover for first choice Jamie Langfield and expects a decision before Christmas.
"There is still a willingness to keep Nicky here," said McInnes. "Hopefully in the next week or so we will know either way."
McInnes is also waiting for a decision on the future of Hector, who has made 17 appearances since arriving on loan from Reading in the summer.
He added in the Evening Express: "We still have a desire to keep Michael but it will depend on the conversation he has with Reading.
"Hopefully we will find out in the next week or two."