Sunderland could only manage a 0-0 draw at home to Burnley on Saturday and the result has kept the north-east outfit bottom of the table, seven points adrift of safety.
The Black Cats only have 10 games to turn their fortunes around and the next two matches, away at Watford and Leicester City, could define their season.
Goalkeeper Pickford, who is an England Under-21 international, has been in sensational form this term and is likely to be snapped up in the summer if the team are relegated to the Championship.
However, the 23-year-old is not thinking about his future right now and is instead focused on keeping Sunderland in the top flight for an 11th straight campaign.
"We're just that little fraction away from getting the results that we need, we've got to just concentrate on ourselves, not look too much at the table, just keep working hard and it will click," he told Chronicle Live.
"We had a few good chances missed but, on the plus side, at least we're creating those chances. We couldn't convert them but we've got to keep strong and keep believing in ourselves."