Born and raised in Norway's capital city Oslo, Olimb came through the youth ranks of Manglerud Star. He made his debut in Norway's top-tier during the 2006–07 campaign, playing for Vålerenga. In 2008, he headed to Frisk Asker and after a two-year stint, he took his game abroad, signing with Leksands IF of the Swedish second division Allsvenskan, where he would spend two years. After another year (2012–13) in the Allsvenskan with BIK Karlskoga,[1] he moved to Germany. Olimb spent three years with Düsseldorfer EG of the country's top-tier Deutsche Eishockey Liga (DEL),[2][3] tallying 44 goals and 87 assists in 159 DEL contests.[4]
In April 2016, he was signed by Linköping HC of the Swedish Hockey League (SHL),[5] where he would play alongside his brother Mathis for the next two seasons.
On April 10, 2018, Olimb as a free agent opted to return for a second stint with Düsseldorfer EG of the DEL, agreeing to a three-year contract through 2021.[6]
On 27 May 2021, Olimb left DEG at the conclusion of his contract, signing a one-year contract to continue in the DEL with the Schwenninger Wild Wings.[7]