The Reds were 2-0 up at Arsenal on Wednesday, only to concede twice within four minutes to draw, and prior to that League One Oldham scored three times to knock them out of the FA Cup.
"There is no concern. When you go to the Emirates you know you will be put under pressure because you know they will create chances," Pascoe said.
"Every game you play to win and there are times when we have been a bit unlucky."
Manager Brendan Rodgers has tried to stiffen up his back four by bringing veteran Jamie Carragher in to replace Martin Skrtel in central defence.
Skrtel has been Daniel Agger's long-term partner at centre-back but Pascoe said the Slovakia international has reacted well to being dropped.
"Martin has been brilliant. Jamie has come in and he has been superb and Martin knows it is all about the squad. When he is needed he will be ready," he added.
"He has trained well the last couple of days and the way he has performed has been fantastic.
"Every professional player wants to play but there are only 11 the manager can pick."
Rodgers said he wanted at least four points from matches against the Gunners and Sunday's opponents Manchester City, so that means anything less than a win would mean they fall short of that target.
However, one startling statistic from Liverpool's season is that they are yet to beat any team in the Premier League's top 10.
Asked if that put the pressure on Sunday, Pascoe replied: "It does, but we will approach it the same way we approach every game - to go out and win.
"Manchester City are the champions and everyone wants to beat them even though Manchester United are top at the moment.
"Against the so-called big clubs - Man City at home, Manchester United at home - we played well. Even Everton away we could have won and we could have got something out of Tottenham.
"We should have got something out of Manchester United at Old Trafford as well and on Wednesday it was a great game at Arsenal.
"The performances against those clubs could easily have brought us more points."