England suffered a series loss to Pakistan before snatching a draw against Sri Lanka in the winter series and Swann expects that West Indies will be facing a side in much better form this summer.
The spinner said: "There was a general sense of frustration over how we played in the winter.
"I believe we should have won the Test series against Pakistan – we should have won the last two Tests – and we should have been in a position to win the series in Colombo as well.
"The great thing for us is the time of the year we are playing, which should suit our bowlers. We've shown we can be lethal, with our seam attack, at the start of the summer."
The West Indies squad are due to arrive in England next week.