Hatters interested in former England international
The 33-year-old, who has eight caps to his name, is now a free agent after being released by Crystal Palace this week.
Johnson, who has commanded transfer fees totalling almost £20million during his career, is from Bedford originally and has scored almost 150 goals since making his debut for Birmingham back in 1997.
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Hide AdSpeaking on Sky Sports, Still said: “We’ve had some talks, we agreed to give it a few days, we’re not rushing into it and Andrew wasn’t rushing into it.
“I think it’s a case of talks continuing over the next week or 10 days. It’s something that we have spoken about as a club, we have had a talk about it and will continue those talks over the next three or four days.”