bajamich's career started with instituto, joining in 2016 from unión de morrison. he made his professional debut on 23 february 2019 in a primera b nacional defeat to nueva chicago, having previously been an unused substitute in 2018 for matches with villa dálmine and arsenal de sarandí. after coming off the bench versus nueva chicago, bajamich made his first start in senior football against guillermo brown on 3 march. he scored his first goal on the final day of 2018–19 against gimnasia y esgrima. bajamich then netted four goals in his first five games to start 2019–20, which included a brace away to brown in adrogué on 14 september.