Nigerian stars Kelechi Iheanacho and Ademola Lookman were among those who tested positive for COVID-19, according to Eurosports.
The newspaper also reported that Ayoze Perez was out for the Foxes after testing positive for COVID-19, adding that Kalidou Koulibaly, Victor Osimhen, Lorenzo Insigne, and Fabian Ruiz were out injured for Napoli.
Extra measures to curb rates of COVID-19 infections in England, including the introduction of vaccine passports for the first time, were announced by the British government on Wednesday due to fears over a surge in cases of the Omicron variant.
A COVID-19 outbreak has left Tottenham without eight players and five members of staff for their Europa Conference League tie with Rennes.
“We’ve had some positive cases, some are generally not well, so we haven’t taken the risk,” said Rodgers, according to AFP.
“Travelling to a foreign country, we have to respect travelling into Italy. We still have a strong squad here, but unfortunately it’s not a fully fit squad.”
Rodgers said Leicester could have waited a further 24 hours to check the status of the ill players who had yet to test positive, but had decided against doing so as a precaution.
“We’ve taken every single measure, in terms of arriving here in the safest possible way to our host country, we have to respect the laws and health issues here,” added the Northern Irishman.
“We’ve taken every measure to make sure everyone was tested.
“The players who were unwell who we could’ve have may be given 24 hours to feel better, we couldn’t take any risk with those, so we’ve kept them at home along with the other guys who were deemed positive.”
The Premier League on Monday reported 12 new positive coronavirus tests out of 3,154 tests among players and club staff. That was the highest figure of positive cases since late August.