The announcement was first made on the school's Facebook on Monday, March 22, after a positive case of Covid-19 within its year five/six bubble.
This was just days after a positive case within its year three/four bubble.
Since then pupils have been kept busy with homeschooling activities.
However, Lincolnshire County Council (LCC) says they have been unable to reopen because of lack of available staff.
The authority said the Academy sought appropriate advice from Health Protection and discussed with the DfE as having to do a longer term closure.
As part of the general Huttoft issue, LCC Acting Consultant in Public Health Andy Fox has said: "We are still in a pandemic and we expect cases throughout Lincolnshire. An 'outbreak' is misleading as COVID-19 is circulating in the community – people in all areas of Lincolnshire should ensure that they follow the guidance and adhere to the restrictions in place. Anyone with COVID-19 symptoms should self-isolate and arrange a PCR test.