He said: "I forgot my razor when I flew over to Europe. When you start a tournament you can't change something in the middle of it. I shaved before the French Open, but not since."
The focus of the SW19 build-up now switches to Nottingham, where Greg Rusedski this week defends his title, and Eastbourne.
Martina Navratilova, 47, failed to qualify for the south-coast event and as a result, may turn down her Wimbledon wildcard.
She said: "The body is not working as well as it used to." Meanwhile, Grosjean will head the Europe v Rest of the World tennis challenge at Roehampton Club starting on Thursday.
The 14th Club Med Cup will feature some of the world's leading tennis stars as they prepare for Wimbledon.
Tickets are available at www.clubmedcup.com
The finals of the UK's largest individual tennis tournament - the Fred Perry Challenge - will also be staged during the event.