The 33-year old Portuguese tactician was installed in the role today and Wilkins hopes there is some patience shown as the former Porto boss gets set to land an elusive Champions League title for the Blues.
The ex-Chelsea number two said he was also extremely interested to see how the inexperienced Villas-Boas fares at Stamford Bridge.
"Chelsea have tried lots of managers in their search for the holy grail, the Champions League," Wilkins told Sky Sports.
"They had, in my opinion, a wonderful coach last year in Carlo Ancelotti but now they've gone again for Villas-Boas, so we'll so how we go.
"It's a very difficult task for him because to knock Barcelona off their perch as the kings of Europe, and probably the world when they play the World Football Championship in Japan in a few months time.
"It's taken a long time since Carlo was deposed as coach at Stamford Bridge, so therefore they want to get cracking.
"Let's give this young man a chance," Wilkins added.
"He's obviously done exceptionally well.
"His man management skills that I can read from the players that he has worked with have been first class so that will be required at Stamford Bridge because these are big players, big guys and very nice men, I've got to say.
"It will be interesting to see how this man goes on."