A flying begin to the season sees United degree on issues with Manchester City on the best of the desk.
The summer time signings have gelled and United had been unfastened scoring, hitting 17 objectives in six video games.
The Red Devils are chasing their first league title since 2013 when Sir Alex Ferguson gained it earlier than retiring.
And Keane, who gained the title seven instances all the way through his embellished spell at United, thinks his former employers appear to be their previous selves and they are able to move deep within the Champions League too.
“Manchester United are back. They look like they can compete to win the big trophies,” Keane advised ITV Sport.
“Over the final yr or two, they may win a League Cup or so-called lesser trophy.
“They are back now competing and you are expecting them to be within the latter levels of the Champions League and successful the Premier League.”
Mourinho’s males in the meantime, secured a Four-1 win away to CSKA Moscow within the Champions League final night time.
The victory ensured they are best of Group A after two video games.
United flip their attentions back to the league on Saturday (3pm) and they will be hoping to maintain the drive on City with a win towards strugglers Crystal Palace.