The committee tasked with recommending amendments opted to retain the section that prevents anyone married to a foreigner or with children of foreign citizenship from becoming head of state.
The two sources declined to be identified and did not say why the proposal was rejected by 26 of the 31 panelists.
Most experts believe the clause, 59 (f), was written into the military-drafted 2008 constitution specifically to sideline Suu Kyi, who became a global icon for her fight against military rule, most of it from house arrest.
Her late husband was British, as are her two sons.