Mourinho also added he would not label this Liverpool side under Klopp the best he has faced, after some famous battles with the Reds in the mid-2000s, particularly against their Champions League-winning side of 2005.
Klopp's side remain the only unbeaten team in the league this season, but the German has yet to clinch an honour in his three years on Merseyside.
They have kept 11 clean sheets in the last 12 home league games - with only Cardiff City's Callum Paterson scoring since conceding to West Ham United on February 24. I don't know if it was better or not better; I know the other team was European champion and that this team won nothing.
Premier League leaders Liverpool boast a 16-point lead over their historic rivals at the top of the table just 16 games into the season, with United languishing down in sixth and already eight points off the top four.
"And it's not that the two sides have been coming into a derby like this with contrasting form, that's happened a lot".
Ince, 51, said: "If any United player could get into Liverpool's starting XI, it would be David De Gea, 28".
"I used to be, and still am, a big fan of Mourinho because of how he set up his team when he came to Chelsea and how they played their football".
"It is not just about the money they spend in the summer, it is about many things, many things", Mourinho said. At Old Trafford, they would run you over - attack, attack, attack.
"I was never interested in the points of Manchester United, and I am not today", he said. I'm not the pope of football tactics and tell people what they have to do. "I think they are obviously very confident", he said.
"I don't see another team getting close to that level of investment, a team that was a finalist in the Champions League, you have to say you are a big candidate".
" If people say the Champions League campaign last season was not a success because we didn't win the final then I can not change that. Of course we have to think about him and think of the best way to cope with a fantastic player like he is".
"Sometimes we haven't got the results we deserved (against United)".
The last time the Reds put more than one goal past United at Anfield in the league was the day Dirk Kuyt netted a hat-trick in a 3-1 win in March 2011.
Matip will also miss the Man Utd game after being ruled out for up to six weeks with a broken collarbone that he sustained during the dying seconds of Liverpool's win over Napoli in midweek.