Motherwell manager Steven Hammell is awaiting a response from Robert Snodgrass after signing talks.
But the new Fir Park boss pointed out that some of the players he inherited were quickly changing their minds about them after responding so well to his ideas.
The former Scotland midfielder Snodgrass played 18 times for Sky Bet Championship clubs West Brom and Luton last season and the 34-year-old is a free agent.
Hammell said: “I spoke to Robert. Like we said from day one, we’re only going to bring people here who are going to make what we do better and this is someone we think fits that.
“He still has a lot to offer on the pitch and we think he would be a great asset off the pitch as well.
“I know him personally, I think he would enjoy his football here, the way we want to do things and the environment we create and the culture, he would fit into what we’re trying to achieve.
“We have spoken several times and we will see how it goes.”
Hammell this week re-signed former Motherwell youth academy player Stuart McKinstry on a season-long loan from Leeds and has been on the hunt for a left-back with Jake Carroll and Nathan McGinley out long-term .
But he left on a flier after his permanent appointment last week when Motherwell won 3-2 at Aberdeen.
Hammell said: “We are always looking for players. What I would say is that the response we’ve had from the group here has been excellent. It was awesome.
“We said from day one that we needed to see improvement from the boys we have here and maybe they saw me saying we needed players.
“But the boys here gave us absolutely everything and even one or two who we thought weren’t as involved really impressed and really did well.
“Are we still going to try to bring in players? Yes, but they have to be available, they have to make us better and they have to want to come here.
“If they don’t want to come here or if we don’t think they’re going to improve what we have, or if that’s going to be a problem, then that’s fine.
“There was a little lack of confidence here at the club and in the team that we felt and we feel like we are slowly improving things.
“We are far from where we want to be. But I feel like the players react to what we do, they gain confidence, which produces results.
“If we can keep that momentum going, hopefully we’ll see the players we already have in the building build their confidence and improve, and we’ve seen that with a few of the guys already.”
Motherwell are now targeting their first home win of the season against Livingston on Saturday following defeats to Sligo Rovers and St Johnstone at Fir Park.
“This Saturday game is another very, very tough game,” Hammell said. “We prepared as best we could and we have to be at our best to get anything.
“We have to build on what we have already done and we have to deliver another positive performance.”