一位議員說，她在9月份宣布決定辭職，現在應該在 "不可原諒地 "缺席關鍵投票後辭職。
Our West Lancashire Group的領導人Owens先生說，Cooper女士在 "幾乎完全缺席投票大廳 "之後，應該 "今天辭職"。
她說，在為西蘭開夏郡人民服務了17年之後，她將在 "進行大量的反思 "之後卸任。
An MP who announced her decision to quit in September should resign now after being "inexcusably" absent from key votes, a councillor has said.
West Lancashire MP Rosie Cooper is set take on a new role in the NHS, however, it has not been confirmed when she will step down from her current post.
Local councillor Adrian Owens said she had not been "fulfilling her role as an MP" after missing key votes.
Mr Owens, the leader of the Our West Lancashire Group, said Ms Cooper should "resign today" after being "almost completely absence from the voting lobbies".
"She has voted on only one day since Parliament returned from its summer break, inexcusably failing to vote when fracking was debated in the Commons last month," he said.
"She must step aside so that West Lancashire can be properly represented in Parliament with an MP that attends to vote on the key issues that matter to local people."
The MP, who was the subject of a murder plot by far-right extremist Jack Renshaw, is set to become the chairman of Mersey Care NHS Foundation Trust.
She said she would step down following a "lot of soul searching" after serving the people of West Lancashire for 17 years.