United's impressive unbeaten run is their longest since Ole Gunnar Solskjaer's first 11 games in charge which ultimately secured his permanent status as manager.
Shaw is very aware that United's form subsequently plummeted but believes his side are now better equipped and won't make the same mistakes.
"I think back then emotions got over us too much and I think we didn't maintain that, and I think this time we're in different sort of position," he said.
"We're probably more experienced to it now because it was very disappointing the way we dropped off and that's not Man United. We need to keep the standards high.
"I'm sure the boss and the coaches around us will keep pushing, but also us as players we need to push each other every day to get to where we want to be.
"I have no doubt that we can finish off the season really strong."