[13] His first leading role came in the 2016 Hallmark Entertainment television film My Christmas Dream, where he portrayed Cooper Stone alongside Danica McKellar and David Haydn-Jones.
[14][17] In 2021, Convery was cast in his breakthrough role as Gus, a deer-human hybrid protagonist, in the Netflix post-apocalyptic fantasy series Sweet Tooth.
[19][20] He subsequently portrayed Rob Horton in The Tiger Rising, a drama film adaptation of Kate DiCamillo's novel, working with Dennis Quaid and Queen Latifah.
[24][25] Additionally, Convery will appear in Guillermo del Toro's Netflix adaptation of Frankenstein, joining a cast that includes Jacob Elordi and Oscar Isaac.
[26] In January 2025, it was announced that Convery will star in the comedy film Rolling Loud, directed by Jeremy Garelick, alongside Owen Wilson and Matt Riffe.