The Foxes won 1-0 on Friday night thanks to Jamie Vardy's winner.
Wilder said: "We're disappointed but we always knew it'd be difficult when the team sheet came in.
"I think they are in a different situation to us. No disrespect but they're not going to win the Premier League and they're not going to get in the Champions League and they are looking at this as a trophy that they can realistically go and win, so they picked a strong side.
"We have a big game on Tuesday and it was a little bit of prioritisation for us, but not too much. We are the dark horses to get into the play-offs but that is what we will try to do in the remaining 15 games."