The West London club will take on Atletico Madrid in the semi-finals.
Despite the Blues' struggles up front, Wilkins believes that Chelsea's defence will keep the club in contention.
"I give them a massive chance because they look to be the only team left in the competition that can keep a clean sheet," Wilkins told Sky Sports News.
"I watched the Barcelona vs. Atletico game and there were chances galore. It was very similar in the other match as well, so Chelsea, with their defensive set-up have as good a chance as anybody. They have a defensive quality that is exceptional."
If Chelsea go through, they will face either Jose Mourinho's former club Real Madrid or holders Bayern Munich.