The outspoken manager told The Telegraph he feels Arsene Wenger's side are close to the great achievements of the 2003/04 season, with a little more investment.
He said: “How can you speak about domination when everyone knows what will happen next summer? Give to Arsenal four top-class players and I think they will again be the Invincibles."
Mourinho's comments echoed former Arsenal striker Thierry Henry who told SkySports at the weekend that the Gunners need to sign four players to compete for the title.
Henry's words had been rebuffed by Arsenal midfielder Francis Coquelin, French radio station RMC that the pundit was wrong.
Mourinho was attempting to play down Chelsea's chances of dominating the Premier League in future seasons, insisting there are a number of teams who can challenge, also talking up Manchester United, Manchester City, and Liverpool's prospects of bouncing back.
In the process he is trying to dampen expectations at Stamford Bridge and make his own job slightly less-pressured, while ramping up hopes at rivals Arsenal that the club can end their lengthy wait without a league title next season.