The Partick Thistle star is out of contract at the end of the season and, like fellow Jag Aaron Taylor-Sinclair, is free to speak to clubs from next month over a Bosman switch in the summer.
Taylor-Sinclair has attracted interest from a number of clubs, including champions Celtic, after turning down Thistle's offer of a new deal.
Lawless has also to yet put pen-to-paper to extend his stay with Alan Archibald's side, but he is only concentrating on helping the Jags climb the Premiership standings.
He said: "Nothing has changed with it. We are still open to discussions so we will wait and see. I am aware I can talk to clubs, but I have not been in contact with anyone.
"I will wait and see if anything happens. I am not worried about it, I am more concerned about getting points and goals for Thistle.
"It is out of my hands just now. I am just concentrating on my football and looking to do well for Thistle."
Lawless was the subject of a bid from Dutch side Willem II in the summer following a stunning First Division campaign, but he has struggled to recapture that form in Scotland's top flight.
Niggling injuries have played a part in a frustrating campaign, but the former Motherwell star is relieved his latest knock, sustained against Hibs a fortnight ago, didn't prove to be as bad as feared.
He said: "It was just a spasm in my hip. It cleared up quickly and I am training fine so that is the main thing. I got a wee knock in the box and felt it right away. As soon as I started moving, it got worse and I had to go down at the halfway line.
"I thought it was going to be worse than it was at first because I couldn't move round to get on to the stretcher. As soon as I got into the changing room, it started to ease off. It was a sore one and a strange injury, I have never experienced that before."
After leaving the capital clash early, Lawless was fit enough to take a place on the bench for last weekend's abandoned fixture against St Johnstone at Firhill.
The striker has just three goals to his credit for Archibald's side so far, with the Jags finding it tough to recapture the fine form that saw them make a flying start to the campaign.
Thistle head to Rugby Park tomorrow aiming to end their recent winless run and put space between themselves and 10th-placed Kilmarnock.
Lawless admits results are most important than performances as he looks to shine for the Jags once again.
He said: "I just need to keep my head down and keep working hard. I am not worried, I think the goals will come for me and the wins will start coming for the team as well, hopefully starting at the weekend.
"If I can get a goal, that would be great. But the main thing is the win and three points.
"I started the season pretty well and then my form dipped when I had a sore ankle. Since then, it has been a bit stop-start for me.
"The boys have shown that we are good enough for this level, we should have more points on the board.
"We could have a few more points, but it is about grinding out results now. It is not about playing pretty football all the time, we need the points on the board.
"We had to battle hard for wins last year when we went through a sticky patch round about this time.
"It is a higher level so our mistakes get punished more. But we are still confident going into every game."