The Nobel laureate, who has repeatedly asserted her readiness to take on the top political job, said the nation's "tatmadaw" army was "essential" in amending the charter, which is currently being debated by a parliamentary panel that includes soldiers.
"The tatmadaw must not remain in a dilemma about whether to take part in amending the constitution. It must take part in it," she told members of her National League for Democracy (NLD) at a ceremony to mark Myanmar's independence from colonial rule.
He also said he supported amending provisions which exclude anyone whose spouse or children are overseas citizens from becoming president -- a clause widely believed to be targeted at Suu Kyi, whose two sons are British.
"I would not want restrictions being imposed on the right of any citizen to become the leader of the country," Thein Sein said.
The charter change issue is rising to the fore as Myanmar prepares for key 2015 parliamentary elections, seen as a definitive test of whether the military is willing to loosen its grip on power.
Suu Kyi has ramped up her campaign for a change to the 2008 constitution, which also ring-fences a quarter of the seats in parliament for unelected military personnel.
"We have to accept openly that the constitution is not fair, not in accordance with democratic standards and not a charter that is good for our country's future," she said today.
Any change to the charter needs the support of over 75 per cent of the legislature, so at least some soldiers would have to vote for the reforms.
The NLD last week said it would not boycott the 2015 poll, even without a constitutional amendment first.
Since then Thein Sein has pushed through sweeping changes, including welcoming Suu Kyi and her party into parliament following landmark by-elections in 2012.
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