Sky Sports News has learned that Guardiola's new contract includes the possibility of extending his tenure until 2027 with an additional year option.
Manchester City refused to comment when contacted by News.
The Athletic are reporting that an announcement is expected in the coming days.
The 53-year-old's current Manchester City deal is due to expire at the end of this season.
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cookies for this session only. Enable CookiesAllow Cookies OnceThe new contract would take the Spaniard to over a decade in charge of the club, having joined City in the summer of 2016.
Guardiola has won 18 trophies, including six Premier League titles and the Champions League at City.
Speculation over Guardiola's future, rife for several months, had increased considerably after the club confirmed recently director of football Txiki Begiristain would be leaving at the end of the season. Begiristain, a long-time colleague of Guardiola, is to be replaced by Sporting Lisbon's Hugo Viana, a former Newcastle player.
Ending uncertainty over Guardiola's position would prevent further disruption next summer at a time when the club are also due to compete in the Club World Cup.
The news, which reportedly could be confirmed later this week, would also come at a critical juncture in City's season. Hampered by injuries, the champions' form has wavered of late with the team having lost their last four matches in all competitions, the worst run of Guardiola's career.
It has also been a difficult campaign off the field with the club facing 115 charges for alleged breaking of Premier League rules following an investigation into their financial affairs.
Guardiola succeeded Manuel Pellegrini at City eight years ago after previous successful spells in charge of Barcelona and Bayern Munich.
News reporter Ben Ransom:
"I think the timing of the news has come as a surprise. We got the sense as this season has gone on that Pep was more inclined to stay.
"For one more year, I think. In the summer, I can't say whether that was the case. It feels like he's thought long and hard about this decision, doesn't it? That quote after he lifted that fourth consecutive Premier League title where he said he was closer to leaving than staying.
"This is his ninth season so he's not going to do another nine, of course not. But for him to say that, to be in that reflective mood, to probably see this team and the way it's evolved and where they are right now, he had a lot to think about.
"His family are still in Catalonia and Barcelona. That would have been a big draw, taking him back to Spain. But alongside that is the job and the club that he absolutely loves.
"And Pep has a loyalty to Manchester City, which we've seen. He clearly loves the job. He loves the challenge of trying to win the Premier League.
"And I think it's that that's just tipped him over the edge to want to stay. Especially his good friendship with Txiki Begiristain. We know he's leaving at the end of the season.
"We know Hugo Viana is coming in this kind of sporting director/director of football role. That is a new relationship. It's a new era. It's a new challenge. And I think Pep must have felt that in leaving now, he wasn't doing the right thing by the club. They need him.
"They need someone they can rely on. And when you look at his record, of course they can rely on Pep."