Pollard, who helped South Africa to 2019 and 2023 World Cup triumphs, has been with Tigers since 2022.
He joined the club from French side Montpellier just months after Leicester won the latest of their 11 Premiership titles.
Pollard has featured 37 times across all competitions for Tigers so far, with four coming under former Australia and Argentina boss Cheika this season.
He praised the Australian – who took over on a year-long contract in the summer – for the “positive environment” he has fostered in his few months at the helm.
“I’m really enjoying playing and all the boys, everyone, is enjoying it,” said Pollard. “And you can’t underestimate how important that is.
“We have to play hard and be on it every week, but the enjoyment element of it is so important in a rugby group in a long season like we have these days.
“That brings the best out of everybody.”