The England midfielder, who came on in City's 2-1 late-gasp Champions League victory over Villarreal on Tuesday night, believes the table toppers can maintain their current form and win.
Just about: Milner celebrates City's last-gasp win with team-mates including goalscorer Aguero
'We know it will be a tough game, a great atmosphere, a great occasion, but if we keep playing as we are I am sure we can get the win,' said Milner.
City produced another European performance that fell far short of their Premier League exploits against a well organised Villarreal side but finally snatched their first win in the competition with an injury-time winner from Sergio Aguero.
Robert Mancini's men fell behind after just four minutes at the Etihad Stadium and needed a Carlos Marchena own goal to get back into contention just before half time in their third Group A game.
'That is what we needed to do, get the three points. It was important that we did that,' added Milner.
'We left it late but we got the three points and that is all that mattered.
'We have played better. We didn't start the game well but we had the belief to keep going and do the right things, and it paid off in the end.
'Even if it takes until the 93rd minute to get the winner, you just have to keep doing the right things.'
Subdued: Milner refused to celebrate his wonder goal against former club Villa last weekend
City now face Villarreal again in a fortnight knowing they are firmly back in contention to progress from Group A, after a draw against the Spanish side on Tuesday night would have effectively ended their chances of progressing.
They remain third in the standings but just a point behind Napoli and three below Bayern Munich after those other two sides drew in Italy last night.
'It is a very strong group, every team is capable of beating each other.
'It was important we got this first win and, with three games to go, it is down to us now.'
We're not scared! Milner targets two wins from daunting United and Villarreal clashesManchester City 2 Villarreal 1: Sub Aguero keeps Champions League dream aliveManchester City 4 Aston Villa 1: Who needs Tevez with Super Mario in top form?