United finished top of Group A on Tuesday night, while Chelsea finished second behind Group C winners Roma on goal difference.
The draw for the first round of the Champions League knock-out stage will take place on Monday, December 11 at UEFA's headquarters in Nyon, Switzerland.
If Liverpool do secure top spot that makes things even trickier for Chelsea.
As such, the Blues will now get a more hard draw in the next round of the competition.
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Placing five teams in the Champions League knockout rounds (nearly a third of the participants) is an outstanding feat.
Conte reckons it will take a special effort to be crowned Europe's top dog, despite beating the odds in the Premier League last season. The Bundesliga is a one- or two-horse race every year, La Liga has two, maybe clubs three vying for titles and PSG and Juventus have dominated Ligue 1 and Serie A recently.
A tie against either Sevilla or Shakhtar Donetsk might not exactly be the worst either, but could prove to be a potential banana skin for the twenty-time English champions.
It's a bit of a difference but, honestly, when you go into the last 16 of the Champions League, you have to face big, big teams and we have to show our level.