An inkjet ink set containing a pre-treatment fixing fluid including calcium-containing crashing agents; at least a co-solvent; one or more surfactants and a balance of water; and, at least, a liquid ink. The liquid ink includes a pigment dispersion, a surfactant, a polyurethane binder, a co-solvent and a balance of water. Also disclosed are and inkjet printing system containing such ink set and the method for printing in such inkjet printing system.