The boss is currently preparing his side for the Audi Cup, which should act as a useful workout ahead of their derby showdown next month, but was silent on transfer rumours
Despite being continually linked with a number of players since the departure of playmaker Andrea Pirlo to Juventus earlier in the summer, the Italian champions have come no closer in their quest to land 'Mister X', the nickname coined by general manager Adriano Galliani for his new midfield signing.
Speaking in a press conference ahead of the Audi Cup clash with Bayern Munich, Allegri remained silent on the prospect of landing the aforementioned midfield duo.
"Fabregas? You'd have to ask [Arsenal manager Arsene] Wenger and [Barcelona coach Pep] Guardiola. However, I have a good squad," he said.
"There are always plenty of transfer rumours in the summer, but I will not speak about Schweinsteiger out of respect, and only about the Milan players."
The Audi Cup, a two-day pre-season tournament held at the Allianz Arena in Germany, will kick-off on Tuesday, and Allegri is hoping to see his side show intensity in their performances, especially with their upcoming Supercoppa clash with arch-rivals Inter on August 6.
He said: "I expect that we will play two games with good intensity to improve fitness and match fitness. Compared with the Emirates Cup last year, we are already ahead in terms of our preparation.
"The Audi Cup is not a major tournament, but it is still a tournament that takes place during summer training. The Champions League last year was unfortunate for us given the number of injuries we had and we undeservedly went out against Tottenham."