Dobrynin and Sharafdini [Appl Math Comput 371 (2020) 124949] defined a stepwise transmission irregular (STI) graph as a graph in which transmissions of any two adjacent vertices differ by one. They posed two conjectures in their study of STI graphs. Here we resolve one of them and provide further computational support for the other one. (C) 2021 Elsevier Inc. All rights reserved.