The Foxes have been in poor form in recent weeks, losing to Manchester City and West Ham United on the bounce.
Brendan Rodgers’ men are still third in the table but they are only one point clear of West Ham United in fourth and two clear of Chelsea in fifth.
Will Leicester finish inside the top four?
They face a remarkably tough run-in, too, playing Manchester United, Chelsea, and Tottenham Hotspur in their final three games of the campaign.
It has been a poor run from Rodgers’ side, who have won just two of their last six games, also losing to Arsenal and drawing with Burnley.
Gillespie believes that the Foxes can still qualify for the Champions League, though he admits that Leicester faced a similar issue last season, when they somewhat limped over the line, winning just three of their final 10 games and losing four.
He told TIF: “A few weeks ago I’d have been quite sure of that, it’s amazing how just a couple of indifferent results change that.
“It was probably about the same time as this last year in terms of where we were in the season, when we got back to football after lockdown, they had the same problem, finishing the season off, where they started plummeting from where they were.
“I still think they might finish top four but they’ve made things a lot harder for themselves.”