The People report that Wright-Phillips, 29, is determined to prove he is good enough to be a first-team regular next term but may have to consider his options if City add even more attackers to the payroll in the close season.
Mark Hughes wanted him on loan in January and is weighing up a £4m bid when the transfer window reopens.
However, the Cottagers will not be willing to pay Wright-Phillips more than £40k a week.