The former Cagliari boss admits his side were always likely to struggle without the star pair in their ranks but is confident that they are on the right track going forward
The Rossoneri sold the star duo to Paris Saint-Germain for a reported €65 million amidst widespread outcry from supporters, who accused the club of lacking ambition as they started the campaign miserably with just two wins in their first eight league fixtures.
However, they have since bounced back to occupy a Champions League spot, and the coach - who has also distanced himself from the vacancy at Roma - believes the losses of Silva and Ibrahimovic have been hard felt.
"I still have great enthusiasm for this job, despite the departure of two champions [Silva and Ibra]. "I've brought home some results, but this season it was impossible to win," Allegri told Mediaset Premium.
"The last word [about my future] always rests with the president. Roma? I don't speak about other teams, it's disrespectful. These are things that don't interest me."
Allegri then spoke about his relationship with vice-president Adriano Galliani and is confident his side are making progress as they close in on a third place finish.
"I have an excellent relationship with Galliani, as I have with the president. I'm only focused on this important goal [qualifying for the CL]," he added.
"It would be great to get back in the Champions League, and this week we have made another small step forward.
"I have no doubts about my future. My credentials have been put into question ever since I came here, but I accept that because I'm the coach."
And the 45-year-old concluded by revealing his dismay at the lack of competition at the top of Serie A - with Juventus coasting to a second successive league title.
"I offer my congratulations to Juventus, they made a triumphal march to the Scudetto and it was well deserved. We are fighting for the Champions League," he said.
"We still need a few more points, but that was an important victory. Last year, the Scudetto was fought. This season, however, Juventus had no rivals."