Sokołowski started playing professionally for Anwil Włocławek in 2011–12 season. He stayed with the club for three seasons and signed with Rosa Radom in 2014. He won the PLK Best Defender award twice while playing with Rosa Radom, in 2015–16 and 2016–17 season. He was also named the PLK Best Polish Player in season 2017–18.
He signed with Zielona Góra for 2018–19 season. He was named once again the PLK Best Polish Player for season 2018–19.
In July 2019, Sokołowski signed with his former club Anwil Włocławek.[1] He averaged 5.3 points and 3.3 rebounds per game. On 24 August 2020 he signed with Legia Warszawa of the Polish Basketball League.[2]
On 10 July 2023 he signed with Napoli Basket of the Italian Lega Basket Serie A (LBA).[7] On 18 February 2024, Napoli won their first Italian Cup following an upset win in the final over Olimpia Milano.[8] Sokołowski recorded 13 points and 6 rebounds in the win and was named the Italian Cup MVP.[9]