Dhinakaran, who took oath as a member of the state assembly on December 29, said he would thank voters in the R K Nagar constitutency, from where he was elected, on Wednesday.
Cases pending against him include a Foreign Exchange Regulations Act (FERA) case.
Dhinakaran, who contested the December 21 bypoll as an independent, defeated AIADMK's E Madhusudhanan by over 40,000 votes, dealing a blow to the ruling camp headed by Chief Minister K Palaniswami.
The byelection was held to fill the vacancy caused by death of then sitting member Jayalalithaa on December 5, 2016.
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