The club is currently consulting with local authorities, its Safety Advisory Group and the Premier League and has announced stricter hygiene and safety measures following a sharp rise in COVID-19 cases.
A Leicester spokesman said: "All parties remain entirely satisfied that, through the continued implementation of our Covid operations plan, the club's football operations can continue to safely function under existing protocols and, in doing so, there will be no greater risk posed to club personnel, visiting teams or our surrounding communities.
"Consequently, first team training will continue at Belvoir Drive and our forthcoming Premier League fixtures remain unaffected."
The Foxes are scheduled to host Crystal Palace on Saturday before welcoming Sheffield United and Manchester United as they look to consolidate their Champions League spot.
Health authorities in Leicester announced that non-essential shops will be closed from Tuesday after cases in the city accounted for 10 per cent of all UK's positive tests over the past week.