The seat was vacated by Rep. Aaron Frey when he was elected to replace Gov. Janet Mills to serve as attorney general.
Members of both parties who reside in Maine House District 124 will caucus to select nominees before the special election on March 12.
"I'd like them to consider who will represent them and what's the most important part of it is. Who represents you as a candidate in this election. Could be many different reasons why someone would be representing another person but that's ideally how I want people to vote. Who represents me?" said Paul Davis, chairman of the Penobscot County Democratic Committee.
The race is important for both parties.
"This House has been traditionally a Democratic seat and we want to hold it. And we want to keep the majority in the house that we have now," Davis said.
State Republicans did not return ABC 7/FOX 22's request for comment.
The Penobscot County Democratic Committee caucus is 6 p.m. on Tuesday at the Penobscot County Courthouse at 97 Hammond Street.
Joe Perry, a former Bangor city councilor with House and Senate experience and Bangor City Council Chairwoman Sarah Nichols both want to be the nominated by the Democrats.
The county's Republican Committee will host a caucus at 6:30 p.m. on Wednesday at Crosspoint Church.
For the Republicans, former Gov. Paul LePage advisor Jim LaBrecque, former candidate Dan LaPointe and newcomer Thomas White want to be nominated.
The candidate nominations are due to the Secretary of State's Office by 5 p.m on Friday.
The candidate who is elected will serve out the remainder of Rep. Frey's term which runs through December 2020.