United go into the match at Old Trafford already trailing League leaders Chelsea by 10 points in the table.
But Luis believes it's a game where Chelsea will also be feeling the strain and told the London Evening Standard: "I think the pressure will be on both sides, not just all on them. We are in first and we want to keep it like that.
"We don't want to lose the five point advantage we have (over Man City in second) right now at the top of the table. We have a lot of pressure, they have a lot of pressure, so it will be a beautiful game to watch.
"I know it's always a difficult game against Manchester United. They are a big club and have a lot of supporters around the world. The squad is full of fantastic players.
"The results have not been coming for them, but in a big game like this, anything can happen. We have to keep playing like we have in the last few games, play really strong in defence and cause a lot of damage on the counter attack."
For the big stories and the banter follow us on Twitter: @tribalfootball