Cooke’s men became the first team to beat Leigh in a league fixture this year, and are now just two points behind second-placed Featherstone Rovers.
But Cooke said: “It’s certainly not acceptable to turn up and lose against Swinton when we’ve shown so much commitment the week before. The challenge is to turn up and make sure there’s no complacency.
“We’ve got to win the battles that are more winnable than others. “
Cooke and Mike Kelly are both major doubts for Sunday’s Kingstone Press Championship fixture
Swinton coach John Duffy is calling for increased ball control from his side ahead of the trip to West Yorkshire.
Lions lost 48-24 against Featherstone Rovers last week. Duffy said: “We played some good stuff and scored some good tries, but you can’t give a side like that too much of the ball in the middle – they punished us every time.
“But we’ll continue to work hard in training and I am sure it will come right soon for us.”