Back-to-back wins over Wolverhampton Wanderers and Sunderland in March had looked to have put the Lancashire side firmly on course to avoid relegation.
He said: "We've worked on the bits we feel we can improve on and we'll go down to Swansea and try to do the double over them.
"They've got a very good home record but we know if we can get a clean sheet and a victory, and then match what we did against Wolves and Sunderland, where we had back-to-back victories and back-to-back clean sheets, then the whole table changes again.
"We're still confident we can get into a good position."
Blackburn have not played an away match against Swansea since 1983.