"The leadership role is not about being a minister," Mrs Turia said. "Being the leader of a political movement is something quite different. There is absolutely nothing stopping Pita from continuing to be the minister."
Asked if Dr Sharples' decision affected his own plans for 2014, Mr Flavell said he was "considering my options."
"If Pete is standing again, he will be in for another three years. That doesn't provide us with succession planning, because I hadn't planned on making Parliament a career at all. So I'm just considering it."
Mr Flavell indicated he was unwilling to wait until 2017 because he had never intended to be a career politician. He was also concerned he would be seen as too much of an old face to take over beyond 2014.
He has previously said he will not directly challenge Dr Sharples and will seek the leadership only if Dr Sharples steps down voluntarily.
He said he expected to decide by April next year, when the Maori Party candidate nominations were due.
Mr Flavell, 57, has been MP for Waiariki since 2005 - the Maori Party's first election.
Yesterday, Dr Sharples acknowledged the leadership was under discussion - including whether the party would break from its current structure of a male and female leader and whether it should stagger the leadership handover.
"All members of the Maori Party, including Tariana, have their own views on what this should look like, but ultimately any decisions will be worked out amongst the collective."
It is not the first time Dr Sharples has faced pressure to step down for Mr Flavell. In the lead-up to the regular leadership vote after the 2011 election, party president Pem Bird and Mrs Turia said the party had to address its succession before 2014 and indicated it was time for Mr Flavell to step up. Dr Sharples and Mrs Turia were reappointed for three years in December 2011.