Bangladesh has barred thousands of civilians from the stateless Muslim minority from entering the country since Friday, when fresh fighting broke out between Myanmar's security forces and Rohingya militants in neighbouring Rakhine state leaving at least 110 people dead.
The UN refugee agency has said some 5,200 people have managed to cross into Bangladesh in the past three days.
But the majority have been stopped at the border despite heavy fighting in nearby villages, even coming under fire on Saturday as they huddled along the 'zero line' which marks the northernmost part of the border.
The official said the situation across the border, which is demarcated in parts by narrow stretches of the Naf River, was "still volatile".
"Last night we heard heavy gunfire by automatic weapons in phases and saw smoke billowing from burnt villages across the border," he said.
Another BGB official estimated the number of Rohingya in limbo could exceed 10,000, as many were believed to be hiding in the hills and forests to escape nearby violence.
"How can I deny shelter to (a) newborn who is dying from cold?" said the border guard, who asked to remain anonymous as he was not permitted to speak to media.
With around 400,000 Rohingya already living in squalid camps in Bangladesh, the government has instructed its border guards to prevent another influx at all costs.
In a statement the UN's refugee agency said barring entry creates a "very grave risk" for the fleeing people.
Speaking in Geneva, UNHCR spokesman Adrian Edwards added it "is of the utmost importance that it (Bangladesh) continue to allow Rohingya fleeing violence to seek safety".
Instead nearly 500 Rohingya have been detained and returned trying to cross the border since Monday, according to Shariful Islam Jamaddar, a deputy commander of BGB.
Border guards have been driving Rohingya who have managed to cross into Bangladesh back across the border several times a day, an AFP correspondent at the scene said.
Some Rohingya have made it just inside Bangladeshi territory, momentarily safe from violence but unable to move onwards to shelter.
They are not recognised as an ethnic group, which would be protected by law, but are instead branded 'Bengalis', code for illegal migrants from Bangladesh.
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