The 29-year-old winger, who moved to The Hawthorns in 2007, is recovering from a hernia operation but would welcome the offer of fresh terms when he returns to full fitness.
When asked about his future, Brunt said in quotes reported by the Birmingham Mail: "We shall see. Obviously I need to get fit first. If things work out I'm sure we'll talk about it.
"Everything's been good following my operation. I'm about a week, 10 days behind [the other players], but it's gone better than expected.
"I've had a good week's training. I've done more than I planned. Hopefully if things go well and I can get back into training sooner than I thought."
He added: "This is the eighth season I've been here. Last season was the only one where I thought we were really disappointing. I've been relegated in my time here but that was when I was younger and learning.
"We should be established now. If we wipe last season away we need to make it a better year."
