"We need to maybe do that better before, take the chances to score, because against big teams you have to take chances because the big teams can have only one chance and score".
United are sixth in the league standings with 26 points from 17 matches after suffering a 3-1 defeat by Liverpool on Sunday.
Fabinho has admitted he took his time to adapt to life at Liverpool following his summer arrival, but says he has now found his "rhythm" at Anfield.
'I think at times we done that, I think we could have done that even more.
United, who were drawn against Paris St Germain in the last 16 of the Champions League on Monday, have said they will appoint a caretaker manager within the next 48 hours while they presumably try to earn time to prize a big-name manager away from his current role.
Giggs said: "The only thing that may be a problem, I experienced it, is [Liverpool] haven't won the league for 28 years".More news: Pochettino admits Tottenham have no money for January signings
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Bayern Munich goalkeeper Manuel Neuer has labelled Liverpool as "vulnerable" following the draw for the Champions League round of 16. "I'm over the moon about the performance", Klopp said. 'Some of these players are not good enough.' Meanwhile, fellow pundit and former Liverpool hero Graeme Souness claimed that he believes Pogba could be the best midfielder in the league if his attitude improved.
Chelsea is not a major title contender because their new coach is still trying to understand the EPL, Arsenal is still trying to come out of the legacy of Arsene Wenger, Spurs are not consistent while Man-City may be more interested in winning the Champions League.
Barcelona are going well in La Liga and have Lionel Messi to call upon.
But those figures mask the fact that he has been poor against the other top-six teams, while his tactical approach has alienated just about everyone at the club. After City's 3-1 win over Everton on Saturday, Juergen Klopp's side rose to the challenge with two second-half goals from substitute Xherdan Shaqiri. I just think they're short, defensively they're short. While they have a decent crop of midfielders, they lack the depth that Man City has in front and in defence.