Defender Toure believes Liverpool have already launched a credible league title bid, after Sunday's crushing 5-0 victory at Tottenham.
Manager Brendan Rodgers has already played down Liverpool's title credentials, but former Arsenal and Manchester City man Toure sees their prospects a little differently.
Toure said: "We are challenging, every single game is really important for us and I think we started the (Tottenham) game very well, very strong, and we played as a team.
"We fight, we attack, we defend together and that is very important when you want to challenge for the title, definitely."
Rampant striker Suarez provided a stunning template for leadership by example on his debut as Liverpool captain on Sunday, scoring twice and having a hand in every other goal to boot.
Suarez's Premier League tally of 17 goals already this term has helped rehabilitate the Uruguay striker after last season's 10-match ban for biting Chelsea defender Branislav Ivanovic and a summer spent agitating for a move away from Anfield.
Arsenal tried to prise the lethal 26-year-old away from Merseyside, trying to invoke a release clause with a cheeky bid of £40,000,001.
Liverpool withstood pressure to sell their chief asset in the summer, and now Toure believes the Reds will hold onto their goal machine through the January transfer window and beyond.
Toure said: "He is here, he is here. For us we love him because he is a great player.
"We don't of course want to lose him to another team and I think he stayed and you can see that everyone from this team wants to improve the club, try to win a trophy.
"I think now he can see that all the players want to fight and want to try to win this title definitely."
Toure said Liverpool will be even more dangerous when Steven Gerrard and Daniel Sturridge come back to fitness.
"Even though the team didn't have Steven (Gerrard) or Daniel Sturridge, the team was still really strong and it showed that we have a group of players," Toure said.
"When those big players come back, we are going to be even stronger and that is very good."
Retiring off the pitch but fearsome on it, Toure said Suarez is a pivotal Anfield leader.
He said: "That showed how much the manager respects him (giving him the captaincy).
"He is very shy as well, but on the pitch he is a leader, he was talking to his team-mates, helping them, he scored goals and he fought for the team.
"He helped people around him and that's why he is a great player."
Toure rejected suggestions of a lack of depth in Liverpool's squad, backing the Anfield side to sustain their impressive form.
He said: "It's very important that we keep working hard, taking it by game by game.
"We showed a great desire, the team was working hard together and that is what made me really happy because it's a great group of players here.
"Whoever plays fights for the team; that is very important.
"We know that we have a good group of players.
"The season is very long. Every game is like a final for us. We give it our all and we see at the end of the season whether it's true or not."