Rodgers spoke to Taylor, whose contract expires at the end of the season, about his situation and future, praising him as a “dedicated Celtic”.
While the Celtic boss did not back down from his previous statements and joked that he looked forward to his eventual successor producing “60 high-intensity, 95-minute football matches every week”, he called on fans to support the team in a busy period.
“I can never tell anyone what to say, what to think, or what to sing,” Rodgers added.
“I know what my personal value is, and a lot of it is based on respect.
“But for me, the Celtic support is an amazing support base, what they bring to the team, how they support them and how they travel with the team.
“For me, it's just a bigger picture about this period of games in particular, where the pitches are a little more packed than they normally would be and the game might be a little bit slower than it would normally be.
“So, it's not always the players' fault, that's what happens sometimes. But for us, it's this support that can really help the team in a really stressful period for us.”