Walków reached one ITF singles final, winning the title at the Poland F4 futures tournament in Koszalin in 2018.

Walków reached his maiden ATP doubles final at the 2021 Swiss Open Gstaad partnering Jan Zieliński.

In January 2022, he made his debut participating as part of the Polish team at the 2022 ATP Cup, where he played doubles with Zieliński and won against Georgia and Argentina.

After Hurkacz's win over Diego Schwartzman sealed the victory for Poland over Argentina the Polish team advanced to the semifinals.

[1] The pair won again against Spain in doubles but the team did not advance to the finals.