The former Celtic striker was discussing Rodgers' future with Talksport on Thursday.
In spite of Wednesday night's 7-1 humiliation in Paris, Rodgers has rebuilt his career since joining Celtic in the summer of 2016.
The Bhoys are on the verge of securing post-Christmas European football - albeit in the Europa League - for only the second time since in five seasons and are unbeaten in 64 domestic matches, all but one of which Rodgers has overseen.
But according to Walker, the former Liverpool boss is committed to Celtic - at least for the time being.
Asked whether Rodgers would be tempted by a 'top job' in England, the 52-year-old told Talksport's Hawksbee & Jacobs show on Thursday: "I think it would be interesting. Chelsea is obviously a big one for him, because he's got a connection there but he does seem happy and content with life in Glasgow - he seems committed to Celtic.
"You look at the number of jobs that have come up in the Premier League - West Ham, Everton, Leicester, Palace, West Brom. All these jobs have been available but there's been no word at all of Brendan Rodgers wanting to go back into that environment.
"But Chelsea might be different because of his earlier association."
Rodgers spent four years coaching Chelsea's youth teams, but left to join Watford in 2008.
Spells at Reading and Swansea City followed before Liverpool came calling in 2012. However, despite leading them to within touching distance of their first league title since 1990 less than 18 months earlier, Rodgers was sacked by the Reds in October 2015.
Where will Rodgers go from Celtic?