The 40-year-old believes he can only begin to set seasonal targets after at least 10 games but admits he has been encouraged by the start the Reds have made to the new campaign
After four matches this season, the 40-year-old's side sit at the top of the table having secured three wins and one draw.
|11/1||Liverpool are 11/1 with bet365 to beat Southampton 3-0
"I haven't even considered that [a title challenge] at all - the only focus is the next game," Rodgers told reporters.
"We'll assess it after 10 games, see where we sit there, then the halfway point and we'll probably have a more realistic idea of where we can be.
"At this moment, we've played four - won three and drawn one - and we're in a good moment.
"There's a lot more to come. We've made a good start. People will talk that it's early stages, as will I, but these are hurdles you have to get over."
Rodgers insists Liverpool still have room for improvement this term and says his side's early form could be the difference in the race for a Champions League place.
"We're on 10 points already; at the end of last season we finished on 61 points and we talked about those extra 10 points that might have taken us into the Champions League - at this early stage we've got them," he continued.
"I believe the team has still got a lot of improvements to make because of the nature of what I've seen in the games and the potential we have in the players.
"We've got to sustain that but I'm really happy that in these early stages we've shown at least potential. I think that potential can grow even more."