Dzhumashev began his senior club career at Abdysh-Ata Kant in 2017 with moving to Neftchi Kochkor-Ata on a loan spell in 2018.[2] Dzhumashev enjoyed a fruitful 2022 campaign with Abdysh-Ata Kant in the Kyrgyzstan Premier League since his return to the club in 2021. He found the back of the net 14 times and provided six assists in 26 league matches.[2]
Dzhumashev made his senior international debut for the Kyrgyzstan national team on 2 September 2021 in their 1–0 victory over Palestine.[2] He was later named in the matchday squad for their friendly against Tajikistan in March.[2]