Klopp, who is in his third season in charge at Anfield, is still searching for his first trophy as Liverpool manager, but his side remain in this season's Champions League, while at the same time pushing for a second-place finish in the Premier League.
The Dutchman was sacked in September after five games and 77 days in charge, losing his four Premier League fixtures.
"If you win the title next year then everyone will know it was a good signing".
Mourinho added: "I think Martin Atkinson, after so many years of this, I think made the right decision".
"But fantastic performance and the spirit when other players probably could do it the easiest way and say: 'we are winning 2-0, I've done my job, goodbye'". We would have more points and it would change my life massively. It's really rare I use the last game for preparation, too much time between. We need to be at 100% if not even a few more to get something there.
"Some people can understand that, some people not, but in these hard situations, I saw the support from some really good people like the manager, the club, my team-mates and, of course, the supporters, who are ready always to support you". We didn't play bad.
Mohamed Salah was also spotted having his shirt tugged back by Ashley Young inside the box upon replay, but the Egyptian stayed on his feet and the officials opted against pointing to the spot.
"We saw Tottenham players getting penalties at Anfield a few weeks back after falling over in the box, but Salah chose to stay on his feet and the referee then made a decision to give nothing".
"I try to give the best to the kid", said Mourinho, responding to Frank De Boer's criticism of his handling of Rashford. If we win, only one ahead, it's not a big difference. "Liverpool needed somebody who started the development with a big thirst for being immediately successful which is quite hard".
"We are in a different situation".