He starred in the 3-2 victory at West Ham in Mourinho's first game in charge, scored the goal that started Spurs' recovery from 2-0 down in the 4-2 win over Olympiakos in the Champions League, and yesterday scored twice in a 3-2 win over Bournemouth.
Martin didn't show any nerves in goal for West Ham, keeping a clean sheet as his team upset London rivals Chelsea in a 1-0 win at Stamford Bridge.
An Alisson red card for saving a shot outside the box led to Brighton captain Lewis Dunk pulling one back for the visitors with a quickly taken free-kick that surprised substitute Adrian, who could only watch the ball roll past.
Liverpool's march to a first English league championship in 30 years is turning into a procession. Adrian comes in with cold feet and cold hands but made two really good saves.
"The boys threw everything on the pitch".More news: Peru opposition leader Keiko Fujimori walks free from jail
Speaking in an interview with Sky Sports before Saturday's clash with Brighton and Hove Albion, Alisson said: "My aims are to win everything we play for".
Goals by Raheem Sterling and Kevin De Bruyn had given the city a 2-1 lead before former Liverpool midfielder Jonjo Shelvey equalized for Newcastle late in the match.
"In a lot of moments [it went well], always knowing about the very specific quality of Brighton; they don't care too much about the opponent they play".
And Redknapp likened them to Arsenal's invincible of 2003/04, when they clocked 90 points and won the league by 11 points.
Chelsea's momentum has stalled after a second successive league defeat as Cresswell lifted the pressure on West Ham boss Manuel Pellegrini.More news: Philip Rivers could get a bench for Tyrod Taylor
"The desire of the people is important for us and we have the same desire to win the Premier League this season".
The midfielder has been revitalised since Mourinho replaced Mauricio Pochettino last week, playing in a more attacking role close to striker Harry Kane.
"I felt the boys felt a bit exhausted after playing a high intensity game, but we had the chance to score the fourth goals, but then in the Premier League the game is always alive", Mourinho said.
"He plays in a position where he feels happy and comfortable".
Ismaila Sarr's first Premier League goal had the Hornets heading off the bottom of the table at the Saints' expense, but Danny Ings levelled 12 minutes from time and James Ward-Prowse's brilliant free-kick five minutes later handed Southampton a first home victory of the season.More news: Vodafone-Idea to raise mobile call, data charges from December 3