After falling short of silverware last season, Mourinho responded with the summer signings of Diego Costa, Cesc Fabregas, Didier Drogba, Loic Remy and Filipe Luis himself, while goalkeeper Thibaut Courtois returned to Stamford Bridge following three consecutive seasons on loan at Atletico Madrid.
The club have since made an excellent start to the campaign, losing just one of their 23 games while topping both their Champions League group and the league table, but the Brazilian left-back still thinks that reinforcements might be needed in order to ensure success in both competitions.
"Only time will tell how far we can go,” he told Marca. "We have a good enough squad to take on anyone, although we are a bit short of players.
“But we have to take what comes our way. We fight against any opposition while always keeping our feet firmly on the ground.”
Meanwhile, despite arriving in west London from Atletico Madrid for £16 million with a reputation as one of European football’s top left-backs, Filipe Luis has made just two league starts so far due to the stellar form of Cesar Azpilicueta.
Nevertheless, the 10-times capped international understands his situation and his not getting concerned about his lack of minutes at this point in time.
“I've nearly always been in the starting XI [before coming to Chelsea] and this is a new situation for me, but I think it's a fair one," he said.
"The team is playing very well. We're winning matches and conceding few goals. There's not much to say really but I'll try to make the most of the chances I get."