Stefano Pioli declared that league titles "are not won in December" but challenged Milan to raise their game when they face Napoli on Sunday.
Inter moved four points clear of the Rossoneri at the top of Serie A by hammering Salernitana 5-0 on Friday.
The champions have soared to the summit with six consecutive victories, while Milan dropped to second after they were held to a 1-1 draw at Udinese, after crashing out of the Champions League with a 2-1 home defeat at the hands of Liverpool.
Pioli says it is too early for talk of Inter running away with it, highlighting that Milan topped the table for much of last season before falling short.
The Milan head coach said in a press conference on Saturday: "I don't think we can talk about an escape, I think Inter are demonstrating the qualities they had already shown.
"Championships are not won in December. We were in the lead for a long time last year and we know how it ended. We have to improve ourselves.
"The first year we had 66 points starting from a difficult position. The second year 79 points.. This year's goal is to do better, especially in the second round [of fixtures]."
He added: "We are having a very good first round, there are still two games to go. I would like to surpass last year's 43 [before the break].
"Tomorrow's opponents have great qualities and an excellent coach, we certainly need to raise the level of performance.
"We are not racing against anyone, but only with ourselves. The last two performances weren't optimal, we must try again to bring our qualities into play with strength and conviction."
Milan have only won one of their last 13 Serie A games against Napoli, but at least it came recently – a 3-1 success in November 2020. Over that period they have had five draws and suffered seven defeats.
Neither team can point to particularly strong recent form, despite both sitting in the top four going into the San Siro game. After setting an electric pace in the early weeks, Milan and Napoli have been steadily reeled in.
Since the beginning of November, Milan have picked up eight points from six games and Napoli have managed only five, ranking them 10th and 16th respectively in Serie A across this period.
Milan's forwards may be interested in the fact Napoli have faced 28 shots on target in their last five league matches (5.6 on average per match), whereas they had faced 11 in total in their previous five (2.2 on average per game).
Pioli will check on Theo Hernandez for the clash with fourth-placed Napoli as the France left-back has been suffering with illness.
Coventry City 2-3 Hull City: Tigers win five-goal thriller to keep play-off hopes alive
Hull City kept their hopes of gatecrashing the Championship play-offs alive with a thrilling 3-2 win over beaten FA Cup semi-finalists Coventry City on Wednesday.
Noah Ohio scored the winner with his first touch after coming on as a second-half substitute as Hull moved within three points of sixth-placed Norwich City with two games to play.
Coventry, meanwhile, saw their own hopes of returning to Wembley Stadium for a second successive play-off final all but ended, as they sit six points further back with three matches remaining.
Three days on from their remarkable comeback against Manchester United, the Sky Blues twice fought back to level things at Coventry Building Society Arena. Jaden Philogene's shot squirmed under goalkeeper Bradley Collins to put Hull ahead 31 minutes in, but Kasey Palmer levelled within five minutes with a stunning free-kick.
Hull went back ahead in controversial circumstances on the stroke of half-time, Liverpool loanee Fabio Carvalho converting from the penalty spot despite replays showing Joel Latibeaudiere's foul on Liam Delap took place outside the area.
Mark Robins' men again dragged themselves back into the game as Bobby Thomas headed Jay Dasilva's cross in just before the hour mark, but it was Liam Rosenior's visitors who found a winner.
Thomas went from hero to villain as his poor back pass sold Collins short, and Ohio got a toe to the ball to score the winner, keeping Hull's hopes of Premier League football intact.
Van Dijk: Liverpool have 'no chance' in title race after derby defeat
Virgil van Dijk conceded Liverpool might be out of the Premier League title race after they suffered a surprise 2-0 defeat to Everton in Wednesday's Merseyside derby.
Jarrad Branthwaite and Dominic Calvert-Lewin scored in either half to give the Toffees their first win over Liverpool at Goodison Park since 2010.
Liverpool struggled to find a way through the Toffees' defence despite dominating for long periods, and the Reds' captain says they will not outlast Arsenal and Manchester City without major improvements.
Speaking to Sky Sports, Van Dijk said: "If we play like today, then we have no chance to consider ourselves in the title race.
"We have to just focus on the next game and that will be a tough one anyway, so we will see.
"We're very disappointed, in so many ways. I think everyone has to look at their own performances. Did they really give everything, and do they really want to win the league?
"We're still fighting and there are still games after tonight, but if we play like we did overall in the game today – not winning challenges and giving the referee a chance to give free-kicks like he did many times, then you have no chance to win the title."
Howe: Newcastle performance in Palace defeat 'way off' Spurs win
Eddie Howe admitted Newcastle United's performance in the 2-0 loss at Crystal Palace on Wednesday was "way off" the one that saw them thump Tottenham in their previous game.
Howe's men hammered Spurs 4-0 in their last match, but they never got close to matching the attacking verve from that outing and a Jean-Philippe Mateta double condemned the Magpies to defeat at Selhurst Park.
Newcastle didn't even manage a shot on target until the 87th minute, accumulating just 0.42 xG (expected goals) as the likes of Alexander Isak and Anthony Gordon struggled to make an impact.
Only against Manchester City in August (one) have Newcastle recorded fewer shots on target in a Premier League game this season than their two against Palace, and Howe was critical of his team's display in the loss, one that all but ends their hopes of finishing in the top four.
"[It is a] bad day for us," Howe told Newcastle's club media.
"I thought we were disappointing today, especially in the first 60 minutes. We were way off our levels against Tottenham and our best levels.
"I thought technically we didn't deliver a good performance, and out of possession I don't think it was a particularly good performance either."
Newcastle were unlocked twice for Mateta to score by a Palace side who themselves only generated 0.88 xG.
Howe was left frustrated by the manner in which his side conceded, adding: "I think we'll be disappointed with our performance technically today, and that's probably epitomised by the two goals where we're disappointed with how we've given them the ball in those situations and then how we defended.
"I think the goals sum up aspects of our performance where there was some good, lots of moments that could have led to opportunities, but we were slow to shoot around the box," he said.
The defeat, combined with Manchester United's 4-2 win over Sheffield United, means Newcastle drop to seventh, while eighth-placed West Ham are two points behind with a game in hand.
Newcastle have now lost eight of their last 11 Premier League away games, while they have lost on four occasions in London in the league this term, only doing so more times in a Premier League season in 2000-01 and 2005-06 (both five).
It's been a disappointing season for Howe and his side, especially compared to the heroics of last term when Newcastle finished in the top four, and the Magpies boss knows there's work to be done to get back to those levels.
"It's a day that we have to take our punishment, deal with it, and then try and improve," Howe continued. "It's frustrating because we know we're capable of much better."
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