Deputy Lawless has been a TD for Kildare North since 2016.
Kildare TD James Lawless is being considered as a replacement for Robert Troy's role.
The Taoiseach says he'll consider the 'ability' of his colleagues, when deciding who will take over Robert Troy's junior ministerial role.
However, it's expected Mayo TD Dara Calleary will be handed the enterprise portfolio, having stepped down as agriculture minister in 2020 in the wake of Golfgate.
Cavan/Monaghan TD Niamh Smyth is reportedly also being considered.
However Michael Martin refused to be drawn on questions on the appointment:

Water Outage In Place For Maynooth And Straffan Tomorrow
Kfm Obituary Notices
Nationwide Fuel Protest Continues Into Third Day
"I Don't Think Anybody Is Going To Really Listen To Us Until Somebody Dies On That Road": Criticism Of Moone-Timolin Cycleway Continues
International Wholesale Prices Are "Not Price Gouging", Says CCPC
Costs Of Home Heating Oil Up By 67.5 Per Cent Between February and March
91-Year-Old Lelia Doolan To Arrive In Monasterevin Today As Part Of Her Walk For Peace
Over €400,000 Awarded To Repair And Protect Three Kildare Heritage Structures