Clarke, 21, is currently without a club after being released by Roy Keane in the first stage of the new manager's overhaul of his playing staff. The young Irishman ended the season on loan with promoted Brentford, hitting five goals in eight starts to power them to League One next season.
The diminutive forward could be a useful option for Bryan Gunn or his potential successor, but it is unlikely any signings will be made before a decision is revealed on the future of Gunn and his backroom team.