Sweden has committed to reducing its domestic greenhouse gases by 85% by 2045, compared with 1990 levels. Due to the challenge of reducing other greenhouse gases, this commitment is regarded as a net zero CO₂ emission target. Biomass is today an important part of the Swedish energy supply and has the potential to increase even further, mainly through utilization of forest residues. To explore different net zero emission pathways with an emphasis on where domestic biomass resources could be used most cost-efficiently, we employed the energy system optimisation model TIMES-Sweden. The results of our study show that biomass is used throughout the energy system. Stringent climate targets and district heating encourage the use of waste heat from biofuel production that results in a more resource efficient use of biomass. Finally, the findings also show that a significant reduction of CO₂ emission is difficult to achieve for freight transportation and energy-intensive industry without an increased use of forestry residues.