 In July 2014, Moström and Molde agreed on a two-year contract extension that kept him at the club till the end of the 2016 season.In August 2016, his contract with Molde was extended to last till the end of the 2018 season.On 5 May 2019, Moström got his 250th appearance in Eliteserien, in the clubs 2–1 win away against Haugesund.