The Jags star is out of contract at the end of the season and talks are ongoing regarding an extension to keep him at Firhill.
Boss Alan Archibald has seen the likes of Aaron Muirhead, Stephen O'Donnell and Kris Doolan all put pen to paper on fresh deals in recent months.
Dutch side Willem II had a £50,000 bid for Lawless booted out earlier this summer and he has not ruled out signing on the dotted line with the SPFL Premiership newcomers.
Lawless said: "We have been in talks. I am waiting on Thistle getting back to my agent with a few things and we will see what happens. We have been in talks for a while now.
"I like the motto, 'If it is not broken, don't fix it'. I am enjoying my football here. If the right deal was there, I would be really interested in signing it.
"It was really flattering [to have teams interested in me] but until something is accepted I haven't got anything to think about.
"I am just happy to be playing football now. That is the most important thing. I feel as though I am doing well now. I don't know if that is because I've only got a year left.
"I felt that at Motherwell when I was younger. I only wanted to sign one-year deals because it made me play better.
"It wasn't like I was taking my foot off the gas but some players like playing in circumstances like that and some don't. I quite enjoy it. You could say it is a gamble but I feel I perform well. It is different if I get an injury.
"I feel that because I have got my little girl now I need to change my philosophy and think about security a lot more.
"Through the years, that is what I tended to do. I liked having the one-year deal. I might need to get that security now."
Lawless has made a superb start to the campaign for Thistle and returns to first club Motherwell this afternoon as the Jags look to extend their unbeaten top flight run to four games.
The 22-year-old failed to make the breakthrough at Fir Park but insists he has no hard feelings following his release 12 months ago.
He said: "I thought I was getting a deal. I think it was because of the Rangers situation that they didn't have the money and couldn't offer me it. It was a bit of a shock.
"I thought I was getting one, it was basically said to me that I was getting one. But with what happened with Rangers they couldn't offer me one.
"I didn't know if I was going to accept it anyway. I would have been doing the same as I did the year before and waiting on injuries. It is one of those things. They did really well that year and I couldn't complain. Chris Humphrey was on fire."
With five points on the board from their opening three Premiership fixtures, it has been encouraging few weeks for Thistle as they have quickly adapted to the rigours of the top flight.
And Lawless is determined to continue proving the doubters wrong this term.
"It is a good start but that is all it is," he said. "We knew we could do well and trying to keep that going is the most important thing.
"You could say a lot of the team had a point to prove. The team that has started the last few games had no appearances at this level. I think we can use that as motivation.
"Every game is a challenge now. It has gone really well but we might have had more points if we had taken our chances."