The Foxes looked doomed towards the back end of last season, but they pieced together a wonderful run of form to drag themselves clear of danger.
With Villa already four points adrift of safety, it seems that they will require a similar run of form to get them out of trouble.
And Sherwood said: "We take inspiration from teams like Leicester who were at the bottom of the Premier League last season and they put a run together which we’re capable of doing.
"This group of players are capable of doing it next year because they’ve had a year experience. It’s been hard and we can’t hide away from it but it will be easier come the end of the season, believe me.”
Villa have failed to win a Premier League match since the first day of the season, with the side currently languishing in 19th place in the table.
The Claret and Blues have struggled to find any consistency to their play, and they have encountered a number of issues already.
Villa are conceding too many goals, and they are not scoring frequently enough, with Sherwood starting to come under severe pressure as a result.
There have been suggestions in the Daily Mirror that Sherwood could be sacked if results do not improve soon, with Villa's next match coming against Swansea City on Saturday.