Late goals by Phil Foden, Gabriel Jesus and Ferran Torres spared Manchester City a shock FA Cup defeat away to fourth-tier Cheltenham (3-1) as the Premier League giants scraped into round five on Saturday.
"It is not easy to take over a team during the season, but against Wolves, Liverpool, other clubs he [Allardyce] got good results", Guardiola said.
West Ham had no such problems as they cruised past Doncaster Rovers (League One) 4-0 thanks to goals from Pablo Fornals, Andriy Yarmolenko, the unfortunate Doncaster Rovers captain Andy Butler, and Oladapo Afolayan. But they remain in the drop zone, with just 11 points from 19 games.
West Brom, then under Slaven Bilic, had been the last team to stop City winning when these teams met in mid-December, but Sam Allardyce's side were completely outclassed at The Hawthorns despite the absence of Kevin De Bruyne, the injured PFA Players' Player of the Year victor.
However, Aguero who is City's all-time top scorer, is yet to score in the Premier League this season and has played just 31 minutes of top-flight football since his last start on 24 October.
"He is going to help us in the decisive moments, to give us the goals and the difference that we need", said Guardiola.
"I never say to the players 'Win five games in a row.' I say 'Win the next one and see how many we can win'".
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West Brom face fellow strugglers Fulham and Sheffield United after tonight's match and the coach, while not waving the white flag regarding City, was more interested in focusing on those matches.
"When you have won 10 games in all competitions, focus on the next one".
Manchester City are unbeaten in ten league games (W8, D2), and a win here would return them to the PL summit.
In four home games since the former England manager took charge, West Brom have conceded 17 goals without reply.
A City win on Tuesday night would take them a point clear of Manchester United at the top of the Premier League table.
"I respect the decision from Chelsea, of course, but a huge hug for Frank and hopefully I can see him soon".
"When we have played the same games, we will see. I didn't look much when we were 12th and eight or nine points behind the leaders and now it's the same".