Rodgers was appointed the Celtic manager in the summer following the departure of Ronny Deila at the end of the 2015-16 season.
The former Liverpool manager has done a wonderful job at Celtic Park, and things are going perfectly well at the moment.
Celtic are at the top of the Scottish Premiership table at the moment with 34 points from 12 matches.
The Hoops are eight points clear of second-placed Heart of Midlothian and have three games in hand.
The Glasgow giants progressed to the group stage of the Champions League this season and won the Scottish League Cup last weekend.
Former Celtic striker Walker has predicted that Rodgers will not be at the club for long.
“I think the Celtic supporters should enjoy this time because it won’t last forever,” Walker told The Glasgow Evening Times.
"I’m sure Brendan will look at it as doing a couple of years in Scotland then getting back to the Premier League in England.”
Rodgers seems to be enjoying himself at Celtic, and fans should be happy with how things are going at the moment.
The Glasgow giants should win the Scottish Premiership title this season with ease, and perhaps the manager should start looking at signing players for the 2017-18 campaign in January.
Celtic need to establish themselves as regulars in the Champions League, and that challenge could be something that convinces Rodgers to commit his long-term future to the club.