We examine the framework of relativistic spin hydrodynamics in the context of the Dirac quasiparticle fluid in graphene. We develop a spin-hydrodynamic model for a (2+1)-dimensional system of fermions under the condition of small spin polarization. Our analysis confirms that thermal vorticity, which satisfies the global equilibrium condition, is also a solution to the spin-hydrodynamic equations. Additionally, we calculate the magnetization of the system in global equilibrium and introduce a novel phenomenon - thermovortical magnetization - resulting from thermal vorticity, which can be experimentally observed in graphene.