The Ivory Coast international has returned from the Africa Cup of Nations after the Elephants were eliminated at the quarter-final stage.
Roberto Mancini’s side have dropped four points since Touré left for the tournament in South Africa, leaving the Red Devils nine points clear at the top.
But the former Barcelona midfielder is optimistic that a good run of results can see the defending champions close the deficit and heap pressure on United.
“We are further behind than we’d like, of course, but all we need to do is think about last season to know what is possible,” he told City’s website.
“My friends are all here and are happy to see me and we are like a family or brothers who will all fight together – and that is a very important thing to have.
“United have a strong squad and on paper, they have an easier run in than we do but the title race is a long way from finished. It only takes a couple of results to go our way and we’re right back in it – I’m sure we’ll come back.”
He added: “I feel like I’m home again and I met some City fans before my flight from Paris to Manchester and they said ‘welcome home, Yaya’ and they said they wanted me to help the team and bring happiness to our supporters. That’s what I aim to do.”
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