Deputy leader Peter Robinson last night called on the MEP to quit his European parliamentary seat and trigger a by-election head-to-head.
Hardliners challenging the DUP decision to share power with Sinn Fein have claimed "a groundswell of support in their favour", said the MP, during a speech in Fermanagh.
"Surely if Jim Allister really believed that he would be resigning his seat and seeking a mandate for his 'flat-Earth' policies."
But Mr Allister told the News Letter he would not be stepping down.
"I have not changed my policy on power-sharing with Sinn Fein since I was elected, I have remained true to my mandate and my mandate still stands until the next European election in 2009," he commented.
He added: "I do not remember Peter Robinson calling for Jeffrey Donaldson, Arlene Foster, Peter Weir or Norah Beare to resign their seats and fight by-elections when they left the UUP and joined the DUP.
"Indeed I seem to remember Peter noted, at the time I left the DUP, that it would be hypocritical for him to call for me to resign."