Tasmanian Premier Jeremy Rockliff has ruled out calling an election in the wake of Attorney-General Elise Archer's resignation.

Archer’s departure due to bullying allegations has put the minority government in a precarious position, losing crucial votes in parliament.

Rockliff says his top priority is the full implementation of the recommendations from Tasmania's recent major inquiry into child sexual abuse, which unveiled serious failures within state institutions spanning decades. 

He acknowledged that the decision to request Archer's resignation was difficult, given their 13-year working relationship. Still, he maintained that it was the right and principled choice.

The turmoil began when allegations of bullying by Archer's office staff triggered an investigation. 

The Australian newspaper also published alleged text messages where Archer referred to Rockliff as “gutless” and criticised his predecessor, Peter Gutwein, for having a “glass jaw”.

Furthermore, Rockliff revealed that he became aware of comments made by Archer about victim-survivors of abuse on Thursday and requested her resignation on Friday after seeing those remarks. Archer claims her remarks were taken out of context.

As a response to the situation, Archer is reconsidering her resignation from parliament and is contemplating serving as an independent member.

Archer's departure as attorney-general has left the only Liberal government in Australia with just 10 out of 25 lower house seats. 

The government has been in a minority position since May, when two MPs resigned due to concerns about Tasmania's deal for an AFL team and stadium.

Rockliff has not dismissed the possibility of delaying the return of parliament, initially scheduled for October 17, to allow for a recount to determine Archer's replacement. 

The government has managed to survive no-confidence motions in recent months, but the risk of losing a parliamentary vote is higher with only 10 members.