Dąbrowski was loaned out to Berwick Rangers in September 2018, returning to Hibs in October 2018.[3] He was then loaned to Civil Service Strollers for a short period in November 2018.[4]
He signed for Cowdenbeath on loan for the first part of the 2019–20 season.[5] He earned a man of the match award, and praise from the opposition manager Craig Levein, for his performance in a League Cup match against Hearts in July 2019.[6] On 8 September 2020, he joined Dumbarton on loan for the remainder of the season, but was recalled by Hibs in January 2021.[7] On 27 April 2021, Dąbrowski signed a two-year contract extension at Hibs.[8]
On 1 February 2022, Dąbrowski debuted for Hibs first-team in a goalless draw with their Edinburgh derby rivals Hearts.[9][10]
Dąbrowski suffered a shoulder injury in August 2022, which prompted the Easter Road club to sign Ryan Schofield on a loan deal.[11] He was loaned out to League One club Queen of the South in January 2023[12] and was released by Hibs at the end of the 2022–23 season.[13]