A polyester including at least one furandicarboxylate unit, at least one saturated, linear or branched, diol unit including from 2 to 10 carbon atoms, and at least one bicyclic diol unit, the said bicyclic diol being chosen from: isosorbide, isoidide, isomannide, 2,3:4,5-di-O-methylene-galactitol, and 2,4:3,5-di-O-methylene-D-mannitol. The glass transition temperature of the polyester is greater than or equal to 90° C. Processes for preparing this polyester are also described.