Blues manager David Moyes admits they're short of numbers after their friendly defeat to Bournemouth on Saturday in New Jersey.
Pickford told the Liverpool Echo: "I think the manager and the staff and the recruitment team will be working tirelessly to get players in. We need it.
“We need a competitive squad and we need to push as a whole. We need to be working but at this particular moment in time we are what we are.
“As a squad we need to work hard and push each other on the training pitch, which we’ll do.”
Pickford added: “I think it’s fair enough. You’ve got to have competition throughout your squad, you’ve got to have people fighting for their positions each and every day on the training pitch and performances will tell on matchday.
“In any type of industry you’re in, you need to be competitive.”