In a letter to Singh, she warned that if the Kerala government persisted with its "recalcitrant" attitude and if the Centre did not deploy CISF personnel, Tamil Nadu police would be stationed to guard the dam.
She said the vertical holes were drilled as part of the core stability test ordered by Supreme Court appointed Empowered Committee headed by Justice A S Anand to study the safety aspects of the century-old dam, over which Tamil Nadu and Kerala are locked in a dispute.
It was necessary to fill the holes before the onset of the monsoon so as to prevent any damage to the dam, located in Idduki district of Kerala but under the control of Tamil Nadu.
However, the Kerala government had been preventing Tamil Nadu officials from closing these drilled holes, in spite of the clear directions given by the Empowered Committee and the matter was taken up by her government with the neighbouring state but to no avail, she said.
The two states are locked in a dispute over raising water level in the dam, which irrigates five southern districts in Tamil Nadu.
While Kerala has been pressing for a new dam to replace the existing old structure on safety grounds, Tamil Nadu has opposed it and moved the Supreme Court.
Jayalalithaa claimed that the Kerala government`s attempt to prevent closing of the holes appeared to be a ploy intended to ensure that dam`s structural stability was weakened, especially in the light of the Empowered Committee`s conclusion that the dam was safe and water level could be raised to 142 ft.
Jayalalithaa alleged that Kerala government was using its police, stationed at the dam site for the purpose of guarding it, to stop Tamil Nadu engineers from carrying out even routine maintenance works on the dam and its appurtenant structures.
"This attitude of the Government of Kerala is reprehensible and needs to be set right," she said reminding Singh of her plea made last year for deployment of the Central Industrial Security Force to safeguard the dam.
"I, therefore, request you to advise the Government of Kerala not to prevent the officials of Tamil Nadu from carrying out the essential work of closing the drilled holes on the Mullai Periyar Dam," Jayalalithaa said in the letter, a copy of which was released to media here today.
"Further, if the Government of Kerala persists with this recalcitrant attitude and if the Government of India does not respond to my request for the deployment of the CISF, the Government of Tamil Nadu will have no option but to deploy its own Police Force to guard the Mullaiperiyar Dam in the area leased out to Tamil Nadu," Jayalalithaa said.