Despite the 46-10 loss, Cummins believes that Bradford can still win a second consecutive Super League game against Salford on Sunday, at the AJ Bell Stadium.
“Everyone is under pressure towards the bottom of the table and we know what that feels like,” the Bulls coach said.
“Nerves could play a huge part this Sunday but I am very confident about where we are at.
“We will need to be at our best, though, because Salford need to win just as much.”
Cummins felt that basic errors in execution caused many of his team’s problems against the Wolves in the Cup.
“The game seemed to drift away from us yesterday but we used up far too much energy in the first half, coming up with a host of unforced errors,” he added.
“When the sun is shining and the ball gets coughed up, it can become a tough old day. The more defending you do, the harder it becomes.
“We were made to work twice as hard on our own line, at times, and good teams, like Warrington, often make you pay.”