Having joined from Gloucester Rugby in the summer Lawson has endured a tough start to life in London with the Exiles sitting at the wrong end of the Aviva Premiership table.
The shoots of recovery showed themselves last weekend with Irish tasting victory against Lawson's former employers - only their third Premiership win of the season to date.
However with a return to European and LV= Cup action imminent - Irish play Mont-de-Marsan on Thursday - the Exiles won't play in the Premiership again until next month.
On the back of inflicting just a second home Premiership defeat of the season on Gloucester the break is not ideal but hooker Lawson insists his side will make the best of it.
"Obviously the aim after the win at Gloucester is to keep pushing on this season and get ourselves up in the table to more where know we can be," he said.
"It would be good to be back in Premiership action but we need to make sure instead that we make winning a habit in the European and LV= Cup games that we have got in the next few weeks.
"Winning becomes a habit and we have got a few weeks to win some games hopefully now and build some momentum ahead of the return to the Premiership.
"We have had a few dark weeks in training after some tough results at the start of the season with things not going our way.
"But now we need to make sure we build on the Gloucester win - not many teams go to Kingsholm and get a win."
There was a measure of irony surrounding the win at Gloucester with the previously brittle Irish defence finding a resilient streak, the normally free-scoring Cherry & Whites failed to cross, in the same week defence coach Shaun Edwards left the club.
However Lawson was quick to deny the correlation was anything other than a coincidence - indeed the Scot insisted the victory belonged just as much to the departed Edwards.
"It would be crazy to say there is any correlation between Shaun leaving and us not conceding a try," he added.
"We have been getting better every week and to have had a coach like Shaun around the club has been great - I have learned an awful lot from him.
"His influence on the club and the coaches is still here, it (Edwards' departure) is just one of those situations."
To see Lawson in action for the Exiles click here