There are no plans to suspend the vaccination programme.
The country's Government had earlier proposed gradually releasing the contaminated water.
The US Secretary of State has blamed Turkey for inflaming the situation.
Azerbaijan's President warned of "new victims and new bloodshed".
This comes ahead of talks aimed at halting the conflict.
But concerns have been raised about the safety of his teenage daughter.
Azerbaijan's President Ilham Aliyev has ruled out talks with Armenia over Nagorno-Karabakh.
Any move to all-out war could drag in major regional powers Russia and Turkey.
There are concerns over the stability of pipelines carrying oil and gas to world markets.