United find themselves five points off the Reds going into the Premier League encounter at Old Trafford this weekend.
However Mourinho's men have won their last nine outings in all competitions and will be full of confidence going into the clash against their old rivals.
Mourinho says he is hoping to give the United fans something to cheer about on Sunday and is looking forward to taking on a talented Liverpool outfit, who punters can back using their free bet.
"It's a special match for us," he said.
"If we play enthusiastic football the fans come to the pitch and play with us. When we don't play with great intensity it is normal that the fans are not so vocal.
"But we have absolutely amazing fans, fans who push us and get behind us.
"Everybody likes big games - players, managers, fans. Everyone loves big matches so let's go for that one on Sunday."