The world's largest contract chipmaker was intending to build a 1-nanometre chip factory in Longtan, according to a Central News Agency report in December that quoted a Science Park Administration official.
TSMC's 3-nanometre technology is currently its most advanced in mass production.
Taiwan Economy Minister Wang Mei-hua said the government would help TSMC with its land, water and power needs given that semiconductors are one of island's most important industries.
Chen Chi-mai, mayor of Kaohsiung in the south where TSMC is currently building a 2-nanometre chip factory, said his city has enough water, power, and land for more semiconductor factories.
"Opportunities are reserved for those who are prepared," he told reporters.
Reporting by Sarah Wu; Additional reporting by Ben Blanchard and Yimou Lee; Editing by Edwina Gibbs