Maynard has scored 38 goals for the Robins since his ?2.25m move from Crewe in July 2008 and has 12 months remaining on his Ashton Gate contract.
"I don't want to leave everything to the summer. We know what we want to do and that's what we're getting on with," manager Keith Millen told BBC Bristol.
"Nicky's happy to be back playing again, fit and scoring goals and we're delighted to have him. There's discussions going on, like there is with a couple of players."
One of those is 34-year-old skipper Louis Carey, who is set to return to training after being sidelined by a fractured skull in February.
Source: BBC Sport
Source: BBC Sport