This paper assesses the convergence of COVID-19 cases by obtaining transition paths of Indian states covering the period from August 01 to October 31, 2020. The results based on Phillips-Sul test show evidence of different transition paths. These findings are useful from the policy perspective, particularly to see whether existing efforts made for stopping the spread of COVID-19 by states/central governments are effective. • Convergence of COVID-19 cases across Indian states is investigated. • The Phillips and Sul test is applied. • Findings are in favour of different transition paths. © 2020