Rodgers' side welcome Tottenham, who are one of Talksport host Brazil's former clubs, to the King Power Stadium on Saturday lunchtime.
The pair sit fifth and third in the Premier League standings, respectively, and will have Manchester City's second place in sight in Leicester.
It has already been a bright start for Rodgers at Leicester, whom he left Celtic to join in February.
And discussing the Northern Irishman with his breakfast show co-host and former Tottenham midfielder Jamie O'Hara, Brazil said: "I don’t know if you agree, but Brendan - don’t get me wrong, he’s happy at Leicester. They’ve got lots of money, youth coming through as well - he’s possibly a future Tottenham manager."
O'Hara, though, was more coy on the matter.
"I think he’s a brilliant manager, yeah," said the newly-appointed Billericay Town manager. "I really admire the way he plays - the way he handles himself. He’s got a philosophy. Whenever he goes into a football club he implements it straight away and he’s successful with it. They play fantastic stuff - he’s got a good squad at Leicester.
"I’ve been really impressed since he took over there with how they’ve been doing. The recruitment’s been fantastic.
"They’ve (the Leicester owners) built something there which will last a lifetime. It’s a fantastic club now, and the people there. It’s well-run. They’ve got you lads coming through. They’ve got everything right and they’re going in the right direction.
"For me, Brendan Rodgers is the perfect guy for that job."
Rodgers began his coaching career at Reading, before joining Tottenham's London rivals Chelsea under Jose Mourinho's management.
He was later made Watford boss and led Swansea City into the Premier League after an unsuccessful return to Reading.
The 46-year-old spent more than three seasons as Liverpool manager, before his trophy-laden spell at Celtic.
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