The 18-year-old, who hails from Chorley, has come through the academy ranks at Bolton and is currently in his second year as a scholar.
Aspinall has featured for both the under-18s and the development squad this term, saving a penalty earlier in the season in a victory over Charlton Athletic.
The young stopper was also included in the first-team squad during pre-season.
Aspinall will be available to Coasters` manager Dave Challinor for tomorrow’s trip to Maidenhead United.