The 32-year-old has enjoyed his time under fellow Welshman Kenny Jackett, bagging three goals in six league start appearances, and expects further talks in the coming days.
"I haven't got a club for next year. Millwall have had a chat with me and they have put something on the table, but I will have to wait and see how things go.
"I have had a good chat with Kenny, I'm sure we'll talk again after Sunday and see how things lie. He has told me that he understands that I am an older pro - and that he will give me the time off to be with the family when I need it."
Price is said to be pleased with the terms - which will be dependent on whether the Lions earn promotion to the
Championship on Sunday.
"A couple of other clubs are interested and I will have a sit down and have a chat with my family, to see where next season will take me." Victory on Sunday and promotion to the Championship would be a huge factor for Price, who added: "Of course, that would be great. But, even if they don't go up - Millwall is a big club, it's not a Mickey Mouse club in League One - it's going places."They want to go up and to better themselves, which is important for a player."