Brown claimed he was in talks to sign a new Celtic deal this week.
The 33-year-old skipper confirmed this week to STV that he was in talks to sign a new deal, with his current £25,000-a-week contract (Daily Star) set to expire at the end of the season.
Brown's consistency in the middle of the park has got better with age, as he continues to prove himself as one of the best players in Celtic's side alongside the likes of Kieran Tierney, Odsonne Edouard and Dedryck Boyata.
Former Liverpool and Swansea manager Rodgers reacted to Brown's mid-week comments in his pre-St. Mirren press conference by saying that talks were underway and that the club have told Brown what they think.
"Scott has made it clear he wants to be here, and he knows what we think of him," Rodgers said, as quoted by the club's official Twitter account.
Brown has clocked up a stupendous 478 appearances in all competitions for Celtic, just 22 away from reaching 500 matches for the Hoops and has not missed a single minute of action in the Hoops' 13 matches this term.
The midfielder has been present for eight Scottish Premiership titles, and a new contract could see him remain at Celtic for what fans hope will be a record-breaking 10 in a row - eclipsing Rangers' nine consecutive titles.
He is expected to start once again on Friday night, as Celtic travel to Paisley to face newly-promoted St. Mirren.
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