The prisoners, currently lodged in north central Anuradhapura prison have been on a hunger strike demanding their release since Wednesday, they said.
They demand that if their cases are being further delayed, the cases must be transferred to the court in the northern towns of Vavuniya and Jaffna which are Tamil- dominated.
Prison officials said they are considering transferring some of the prisoners on hunger strike to the Jaffna prison for the convenience of their relatives.
The suspects held for LTTE activities are dubbed political prisoners by the Tamil groups.
"We urge the government to continue this process of re-evaluation and release the rest of the political prisoners also without delay," the TNA statement said.
The Ministry of Resettlement and Rehabilitation said the rehabilitation offer is being made to 23 of 96 suspects arrested over alleged links to the LTTE.
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